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Hoffmann-Ostenhof, Thomas

Co-Author Distance
Author ID: hoffmann-ostenhof.thomas Recent zbMATH articles by "Hoffmann-Ostenhof, Thomas"
Published as: Hoffmann-Ostenhof, Thomas; Hoffmann-Ostenhof, T.; Hoffmann-Ostenhof, Th.
Documents Indexed: 72 Publications since 1976, including 5 Additional arXiv Preprints
1 Contribution as Editor
Co-Authors: 31 Co-Authors with 70 Joint Publications
931 Co-Co-Authors
all top 5

Co-Authors

3 single-authored
44 Hoffmann-Ostenhof, Maria
22 Helffer, Bernard
12 Nadirashvili, Nikolai S.
11 Sørensen, Thomas Østergaard
10 Fournais, Søren
7 Laptev, Ari
3 Bonnaillie-Noël, Virginie
3 Froese, Richard
3 Herbst, Ira W.
3 Simon, Barry
3 Swetina, Jörg
3 Terracini, Susanna
1 Ancona, Alano
1 Charron, Philippe
1 Combes, Jean-Michel
1 Frank, Rupert L.
1 Grieser, Daniel
1 Guzu, Dorian
1 Hardt, Robert M.
1 Jauberteau, François
1 Léna, Corentin
1 Marquetand, P.
1 Michor, Peter Wolfram
1 Owen, Mark P.
1 Owen, Markus Roger
1 Polterovich, Iosif
1 Shcherbakov, I. A.
1 Solovej, Jan Philip
1 Stremnitzer, H.
1 Tidblom, Jesper
1 van den Berg, Michiel
all top 5

Serials

8 Communications in Mathematical Physics
4 Journal of Physics A: Mathematical and General
3 Moscow Mathematical Journal
2 Journal of Mathematical Physics
2 Duke Mathematical Journal
2 Journal of Functional Analysis
2 Geometric and Functional Analysis. GAFA
2 Communications in Partial Differential Equations
2 Annales de l’Institut Henri Poincaré. Physique Théorique
2 Annales Henri Poincaré
2 Journal of Physics A: Mathematical and Theoretical
2 Journal of Spectral Theory
1 Journal d’Analyse Mathématique
1 Arkiv för Matematik
1 Functional Analysis and its Applications
1 Indiana University Mathematics Journal
1 Journal of Differential Geometry
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Zeitschrift
1 Proceedings of the American Mathematical Society
1 Annals of Global Analysis and Geometry
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Asymptotic Analysis
1 Anzeiger der Österreichischen Akademie der Wissenschaften. Mathematisch-Naturwissenschaftliche Klasse
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Advances in Mathematical Sciences and Applications
1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts)
1 St. Petersburg Mathematical Journal
1 Discrete and Continuous Dynamical Systems
1 Documenta Mathematica
1 Journal of the European Mathematical Society (JEMS)
1 Oberwolfach Reports
1 Bulletin of Mathematical Sciences
1 Annales Mathématiques du Québec
all top 5

Fields

63 Partial differential equations (35-XX)
26 Quantum theory (81-XX)
5 Operator theory (47-XX)
5 Global analysis, analysis on manifolds (58-XX)
3 Real functions (26-XX)
3 Probability theory and stochastic processes (60-XX)
2 Functional analysis (46-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 General and overarching topics; collections (00-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Ordinary differential equations (34-XX)
1 Calculus of variations and optimal control; optimization (49-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

61 Publications have been cited 830 times in 485 Documents Cited by ▼ Year ▼
Nodal domains and spectral minimal partitions. Zbl 1171.35083
Helffer, B.; Hoffmann-Ostenhof, T.; Terracini, S.
78
2009
A geometrical version of Hardy’s inequality. Zbl 1012.26011
Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Laptev, A.
59
2002
Nodal sets for ground states of Schrödinger operators with zero magnetic field in non simply connected domains. Zbl 1042.81012
Helffer, B.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Owen, M. P.
49
1999
On the absence of positive eigenvalues for one-body Schrödinger operators. Zbl 0512.35062
Froese, Richard; Herbst, Ira; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas
44
1982
Critical sets of solutions to elliptic equations. Zbl 1144.35370
Hardt, R.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
37
1999
On spectral minimal partitions: the case of the sphere. Zbl 1230.35072
Helffer, Bernard; Hoffmann-Ostenhof, Thomas; Terracini, Susanna
31
2010
\(L^2\)-exponential lower bounds to solutions of the Schrödinger equation. Zbl 0514.35024
Froese, Richard; Herbst, Ira; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas
28
1982
Sharp regularity results for Coulombic many-electron wave functions. Zbl 1075.35063
Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Sørensen, Thomas Østergaard
27
2005
Many-particle Hardy inequalities. Zbl 1135.35012
Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Laptev, A.; Tidblom, J.
25
2008
The electron density is smooth away from Nuclei. Zbl 1005.81095
Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Østergaard Sørensen, Thomas
25
2002
Analytic structure of many-body Coulombic wave functions. Zbl 1171.35110
Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Sørensen, Thomas Østergaard
24
2009
Electron wavefunctions and densities for atoms. Zbl 0985.81133
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Østergaard Sørensen, Thomas
24
2001
\(L^ 2\)-lower bounds to solutions of one-body Schrödinger equations. Zbl 0547.35038
Froese, R.; Herbst, I.; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas
22
1983
The nodal line of the second eigenfunction of the Laplacian in \(\mathbb{R}^2\) can be closed. Zbl 0956.35027
Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
21
1997
Analyticity of the density of electronic wavefunctions. Zbl 1068.35118
Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Østergaard Sørensen, Thomas
21
2004
Local properties of Coulombic wave functions. Zbl 0812.35105
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Stremnitzer, H.
19
1994
Aharonov-Bohm Hamiltonians, isospectrality and minimal partitions. Zbl 1196.35031
Bonnaillie-Noël, V.; Helffer, B.; Hoffmann-Ostenhof, T.
18
2009
A comparison theorem for differential inequalities with applications in quantum mechanics. Zbl 0432.35080
Hoffmann-Ostenhof, Thomas
16
1980
On a magnetic characterization of spectral minimal partitions. Zbl 1282.35259
Helffer, Bernard; Hoffmann-Ostenhof, Thomas
15
2013
On the exponential fall off of wavefunctions and electron densities. Zbl 0446.35017
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Ahlrichs, R.; Morgan, J.
13
1980
Bounds on the multiplicity of eigenvalues for fixed membranes. Zbl 0949.35102
Hoffmann-Ostenhof, T.; Michor, P. W.; Nadirashvili, N.
13
1999
Hardy inequalities with homogeneous weights. Zbl 1322.35103
Hoffmann-Ostenhof, Thomas; Laptev, Ari
13
2015
Local properties of solutions of Schrödinger equations. Zbl 0783.35054
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas
12
1992
Converse spectral problems for nodal domains. Zbl 1125.35068
Helffer, B.; Hoffmann-Ostenhof, T.
12
2007
Non-isotropic cusp conditions and regularity of the electron density of molecules at the nuclei. Zbl 1126.81054
Fournais, Søren; Sørensen, Thomas Østergaard; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas
11
2007
Pointwise bounds on the asymptotics of spherically averaged \(L^ 2\)-solutions of one-body Schrödinger equations. Zbl 0595.35033
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Swetina, Jörg
11
1985
A multiparticle Coulomb system with bound state at threshold. Zbl 0519.35024
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Simon, B.
11
1983
Analytic structure of solutions to multiconfiguration equations. Zbl 1181.35282
Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Sørensen, Thomas Østergaard
10
2009
Nodal minimal partitions in dimension 3. Zbl 1193.35162
Helffer, Bernard; Hoffmann-Ostenhof, Thomas; Terracini, Susanna
9
2010
A review on large \(k\) minimal spectral \(k\)-partitions and Pleijel’s theorem. Zbl 1346.35132
Helffer, B.; Hoffmann-Ostenhof, T.
9
2015
On minimal partitions: new properties and applications to the disk. Zbl 1231.35011
Helffer, Bernard; Hoffmann-Ostenhof, Thomas
8
2010
Critical sets of smooth solutions to elliptic equations in dimension 3. Zbl 0857.35008
Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
8
1996
Interior Hölder estimates for solutions of Schrödinger equations and the regularity of nodal sets. Zbl 0846.35036
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Nadirashvili, N.
8
1995
On the regularity of the density of electronic wavefunctions. Zbl 1041.81104
Fournais, S.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Sørensen, T. Østergaard
7
2002
On the multiplicity of eigenvalues of the Laplacian on surfaces. Zbl 0923.35109
Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
7
1999
Nodal sets, multiplicity and superconductivity in non-simply connected domains. Zbl 0986.35104
Helffer, Bernard; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Owen, Markus
7
2000
Remarks on two notions of spectral minimal partitions. Zbl 1222.35067
Helffer, Bernard; Hoffmann-Ostenhof, Thomas
6
2010
On the nodal line conjecture. Zbl 0895.35068
Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
6
1998
Absence of an \(L^ 2\)-eigenfunction at the bottom of the spectrum of the Hamiltonian of the hydrogen negative ion in the triplet S-sector. Zbl 0559.35081
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas
6
1984
Continuity and nodal properties near infinity for solutions of 2- dimensional Schrödinger equations. Zbl 0599.35036
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Swetina, Jörg
6
1986
Minimal partitions for anisotropic tori. Zbl 1321.58006
Helffer, Bernard; Hoffmann-Ostenhof, Thomas
5
2014
Positivity of the spherically averaged atomic one-electron density. Zbl 1138.81567
Fournais, S.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Østergaard, Sørensen T.
5
2008
On the asymptotics of nodes of \(L^ 2\)-solutions of Schrödinger equations in dimensions \(\geq 3\). Zbl 0658.35021
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas
5
1988
Asymptotics and continuity properties near infinity of solutions of Schrödinger equations in exterior domains. Zbl 0641.35017
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Swetina, Jörg
4
1987
Asymptotics of atomic ground states: The relation between the ground state of helium and the ground state of He+. Zbl 0471.35011
Combes, J. M.; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas
4
1981
Brownian motion and a consequence of Harnack’s inequality: nodes of quantum wave functions. Zbl 0444.35024
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Simon, B.
4
1980
Spectral minimal partitions for a thin strip on a cylinder or a thin annulus like domain with Neumann condition. Zbl 1273.35029
Helffer, Bernard; Hoffmann-Ostenhof, Thomas
3
2013
Hardy inequality for antisymmetric functions. Zbl 1482.35020
Hoffmann-Ostenhof, T.; Laptev, A.
3
2021
Nodal domain theorems à la Courant. Zbl 1067.35051
Ancona, A.; Helffer, B.; Hoffmann-Ostenhof, T.
3
2004
Pleijel’s theorem for Schrödinger operators with radial potentials. Zbl 1384.35048
Charron, Philippe; Helffer, Bernard; Hoffmann-Ostenhof, Thomas
2
2018
Spectral theory for the dihedral group. Zbl 1029.47026
Helffer, B.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
2
2002
Periodic Schrödinger operators and Aharonov-Bohm Hamiltonians. Zbl 1043.35057
Helffer, B.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
2
2003
Spectral theory for periodic Schrödinger operators with reflection symmetries. Zbl 1050.35056
Helffer, B.; Hoffmann-Ostenhof, T.
2
2003
On the nodal structure of atomic eigenfunctions. Zbl 0428.35078
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Simon, B.
2
1980
Hardy and Sobolev inequalities on antisymmetric functions. Zbl 07845707
Hoffmann-Ostenhof, Th.; Laptev, A.; Shcherbakov, I.
2
2024
Asymptotic properties of nodes of solutions to Schrödinger equations. Zbl 0699.35214
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas
1
1989
Regularity of the nodal sets of solutions to Schrödinger equations. Zbl 0817.35019
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Nadirashvili, N.
1
1994
Interior Hölder estimates for solutions of Schrödinger equations and the regularity of nodal sets. Zbl 0948.35501
Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
1
1994
Eine Ungleichung für die Funktionswerte einer samt ihrer Ableitung quadratintegrablen Funktion. Zbl 0351.26023
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas
1
1976
Eigenfunctions for 2-dimensional tori and for rectangles with Neumann boundary conditions. Zbl 1386.35284
Hoffmann-Ostenhof, Thomas
1
2015
Hardy inequalities for large fermionic systems. Zbl 07902930
Frank, Rupert L.; Hoffmann-Ostenhof, Thomas; Laptev, Ari; Solovej, Jan Philip
1
2024
Hardy and Sobolev inequalities on antisymmetric functions. Zbl 07845707
Hoffmann-Ostenhof, Th.; Laptev, A.; Shcherbakov, I.
2
2024
Hardy inequalities for large fermionic systems. Zbl 07902930
Frank, Rupert L.; Hoffmann-Ostenhof, Thomas; Laptev, Ari; Solovej, Jan Philip
1
2024
Hardy inequality for antisymmetric functions. Zbl 1482.35020
Hoffmann-Ostenhof, T.; Laptev, A.
3
2021
Pleijel’s theorem for Schrödinger operators with radial potentials. Zbl 1384.35048
Charron, Philippe; Helffer, Bernard; Hoffmann-Ostenhof, Thomas
2
2018
Hardy inequalities with homogeneous weights. Zbl 1322.35103
Hoffmann-Ostenhof, Thomas; Laptev, Ari
13
2015
A review on large \(k\) minimal spectral \(k\)-partitions and Pleijel’s theorem. Zbl 1346.35132
Helffer, B.; Hoffmann-Ostenhof, T.
9
2015
Eigenfunctions for 2-dimensional tori and for rectangles with Neumann boundary conditions. Zbl 1386.35284
Hoffmann-Ostenhof, Thomas
1
2015
Minimal partitions for anisotropic tori. Zbl 1321.58006
Helffer, Bernard; Hoffmann-Ostenhof, Thomas
5
2014
On a magnetic characterization of spectral minimal partitions. Zbl 1282.35259
Helffer, Bernard; Hoffmann-Ostenhof, Thomas
15
2013
Spectral minimal partitions for a thin strip on a cylinder or a thin annulus like domain with Neumann condition. Zbl 1273.35029
Helffer, Bernard; Hoffmann-Ostenhof, Thomas
3
2013
On spectral minimal partitions: the case of the sphere. Zbl 1230.35072
Helffer, Bernard; Hoffmann-Ostenhof, Thomas; Terracini, Susanna
31
2010
Nodal minimal partitions in dimension 3. Zbl 1193.35162
Helffer, Bernard; Hoffmann-Ostenhof, Thomas; Terracini, Susanna
9
2010
On minimal partitions: new properties and applications to the disk. Zbl 1231.35011
Helffer, Bernard; Hoffmann-Ostenhof, Thomas
8
2010
Remarks on two notions of spectral minimal partitions. Zbl 1222.35067
Helffer, Bernard; Hoffmann-Ostenhof, Thomas
6
2010
Nodal domains and spectral minimal partitions. Zbl 1171.35083
Helffer, B.; Hoffmann-Ostenhof, T.; Terracini, S.
78
2009
Analytic structure of many-body Coulombic wave functions. Zbl 1171.35110
Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Sørensen, Thomas Østergaard
24
2009
Aharonov-Bohm Hamiltonians, isospectrality and minimal partitions. Zbl 1196.35031
Bonnaillie-Noël, V.; Helffer, B.; Hoffmann-Ostenhof, T.
18
2009
Analytic structure of solutions to multiconfiguration equations. Zbl 1181.35282
Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Sørensen, Thomas Østergaard
10
2009
Many-particle Hardy inequalities. Zbl 1135.35012
Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Laptev, A.; Tidblom, J.
25
2008
Positivity of the spherically averaged atomic one-electron density. Zbl 1138.81567
Fournais, S.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Østergaard, Sørensen T.
5
2008
Converse spectral problems for nodal domains. Zbl 1125.35068
Helffer, B.; Hoffmann-Ostenhof, T.
12
2007
Non-isotropic cusp conditions and regularity of the electron density of molecules at the nuclei. Zbl 1126.81054
Fournais, Søren; Sørensen, Thomas Østergaard; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas
11
2007
Sharp regularity results for Coulombic many-electron wave functions. Zbl 1075.35063
Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Sørensen, Thomas Østergaard
27
2005
Analyticity of the density of electronic wavefunctions. Zbl 1068.35118
Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Østergaard Sørensen, Thomas
21
2004
Nodal domain theorems à la Courant. Zbl 1067.35051
Ancona, A.; Helffer, B.; Hoffmann-Ostenhof, T.
3
2004
Periodic Schrödinger operators and Aharonov-Bohm Hamiltonians. Zbl 1043.35057
Helffer, B.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
2
2003
Spectral theory for periodic Schrödinger operators with reflection symmetries. Zbl 1050.35056
Helffer, B.; Hoffmann-Ostenhof, T.
2
2003
A geometrical version of Hardy’s inequality. Zbl 1012.26011
Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Laptev, A.
59
2002
The electron density is smooth away from Nuclei. Zbl 1005.81095
Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Østergaard Sørensen, Thomas
25
2002
On the regularity of the density of electronic wavefunctions. Zbl 1041.81104
Fournais, S.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Sørensen, T. Østergaard
7
2002
Spectral theory for the dihedral group. Zbl 1029.47026
Helffer, B.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
2
2002
Electron wavefunctions and densities for atoms. Zbl 0985.81133
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Østergaard Sørensen, Thomas
24
2001
Nodal sets, multiplicity and superconductivity in non-simply connected domains. Zbl 0986.35104
Helffer, Bernard; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Owen, Markus
7
2000
Nodal sets for ground states of Schrödinger operators with zero magnetic field in non simply connected domains. Zbl 1042.81012
Helffer, B.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Owen, M. P.
49
1999
Critical sets of solutions to elliptic equations. Zbl 1144.35370
Hardt, R.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
37
1999
Bounds on the multiplicity of eigenvalues for fixed membranes. Zbl 0949.35102
Hoffmann-Ostenhof, T.; Michor, P. W.; Nadirashvili, N.
13
1999
On the multiplicity of eigenvalues of the Laplacian on surfaces. Zbl 0923.35109
Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
7
1999
On the nodal line conjecture. Zbl 0895.35068
Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
6
1998
The nodal line of the second eigenfunction of the Laplacian in \(\mathbb{R}^2\) can be closed. Zbl 0956.35027
Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
21
1997
Critical sets of smooth solutions to elliptic equations in dimension 3. Zbl 0857.35008
Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
8
1996
Interior Hölder estimates for solutions of Schrödinger equations and the regularity of nodal sets. Zbl 0846.35036
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Nadirashvili, N.
8
1995
Local properties of Coulombic wave functions. Zbl 0812.35105
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Stremnitzer, H.
19
1994
Regularity of the nodal sets of solutions to Schrödinger equations. Zbl 0817.35019
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Nadirashvili, N.
1
1994
Interior Hölder estimates for solutions of Schrödinger equations and the regularity of nodal sets. Zbl 0948.35501
Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N.
1
1994
Local properties of solutions of Schrödinger equations. Zbl 0783.35054
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas
12
1992
Asymptotic properties of nodes of solutions to Schrödinger equations. Zbl 0699.35214
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas
1
1989
On the asymptotics of nodes of \(L^ 2\)-solutions of Schrödinger equations in dimensions \(\geq 3\). Zbl 0658.35021
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas
5
1988
Asymptotics and continuity properties near infinity of solutions of Schrödinger equations in exterior domains. Zbl 0641.35017
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Swetina, Jörg
4
1987
Continuity and nodal properties near infinity for solutions of 2- dimensional Schrödinger equations. Zbl 0599.35036
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Swetina, Jörg
6
1986
Pointwise bounds on the asymptotics of spherically averaged \(L^ 2\)-solutions of one-body Schrödinger equations. Zbl 0595.35033
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Swetina, Jörg
11
1985
Absence of an \(L^ 2\)-eigenfunction at the bottom of the spectrum of the Hamiltonian of the hydrogen negative ion in the triplet S-sector. Zbl 0559.35081
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas
6
1984
\(L^ 2\)-lower bounds to solutions of one-body Schrödinger equations. Zbl 0547.35038
Froese, R.; Herbst, I.; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas
22
1983
A multiparticle Coulomb system with bound state at threshold. Zbl 0519.35024
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Simon, B.
11
1983
On the absence of positive eigenvalues for one-body Schrödinger operators. Zbl 0512.35062
Froese, Richard; Herbst, Ira; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas
44
1982
\(L^2\)-exponential lower bounds to solutions of the Schrödinger equation. Zbl 0514.35024
Froese, Richard; Herbst, Ira; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas
28
1982
Asymptotics of atomic ground states: The relation between the ground state of helium and the ground state of He+. Zbl 0471.35011
Combes, J. M.; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas
4
1981
A comparison theorem for differential inequalities with applications in quantum mechanics. Zbl 0432.35080
Hoffmann-Ostenhof, Thomas
16
1980
On the exponential fall off of wavefunctions and electron densities. Zbl 0446.35017
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Ahlrichs, R.; Morgan, J.
13
1980
Brownian motion and a consequence of Harnack’s inequality: nodes of quantum wave functions. Zbl 0444.35024
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Simon, B.
4
1980
On the nodal structure of atomic eigenfunctions. Zbl 0428.35078
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Simon, B.
2
1980
Eine Ungleichung für die Funktionswerte einer samt ihrer Ableitung quadratintegrablen Funktion. Zbl 0351.26023
Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas
1
1976
all cited Publications top 5 cited Publications
all top 5

Cited by 518 Authors

28 Helffer, Bernard
27 Hoffmann-Ostenhof, Thomas
18 Hoffmann-Ostenhof, Maria
17 Nasibullin, Ramil Gaisa’evich
12 Avkhadiev, Farit Gabidinovich
12 Herbst, Ira W.
12 Terracini, Susanna
11 Laptev, Ari
10 Bérard, Pierre H.
10 Léna, Corentin
9 Abatangelo, Laura
8 Felli, Veronica
8 Fournais, Søren
8 Miyamoto, Yasuhito
8 Skibsted, Erik
7 Schneider, Reinhold
7 Simon, Barry
7 Sørensen, Thomas Østergaard
6 Berkolaiko, Gregory
6 Flad, Heinz-Jürgen
6 Frank, Rupert L.
6 Froese, Richard
6 Pan, Xingbin
6 Tavares, Hugo
6 Tertikas, Achilles
6 Zhou, Aihui
5 Bobkov, Vladimir E.
5 Chen, Huajie
5 Filippas, Stathis
5 Kuchment, Peter A.
5 Lin, Fang Hua
5 Lundholm, Douglas
5 Marzuola, Jeremy Louis
5 Mazzieri, Lorenzo
5 Nadirashvili, Nikolai S.
5 Ruzhansky, Michael V.
5 Sobolev, Alexander V.
5 Suragan, Durvudkhan
4 Agostiniani, Virginia
4 Band, Ram
4 Bollé, D.
4 Bucur, Dorin
4 Cancès, Eric
4 Cox, Graham
4 Dolbeault, Jean
4 Esteban, Maria J.
4 Fragalà, Ilaria
4 Ito, Kenichi
4 Jecko, Thierry
4 Kennedy, James Bernard
4 Lieb, Elliott Hershel
4 Liu, Hairong
4 Makarov, R. V.
4 Maz’ya, Vladimir Gilelevich
4 Nys, Manon
4 Osborn, T. A.
4 Sundqvist, Mikael Persson
4 Rabinovich, Vladimir Samuilovich
4 Shafigullin, Il’nar Kasyĭmovich
4 Solovej, Jan Philip
4 Yao, Xiaohua
4 Yserentant, Harry
4 Zilio, Alessandro
3 Banerjee, Amartya S.
3 Barbatis, Gerassimos
3 Beck, Thomas L.
3 Bogoşel, Beniamin
3 Bonnaillie-Noël, Virginie
3 Canzani, Yaiza
3 Colbois, Bruno
3 Danneels, C.
3 Gesztesy, Fritz
3 Gittins, Katie
3 Hundertmark, Dirk
3 Kachmar, Ayman
3 Kiwan, Rola
3 Kovařík, Hynek
3 Lewin, Mathieu
3 Loss, Michael
3 Lu, Guozhen
3 Nistor, Victor
3 Noris, Benedetta
3 Osting, Braxton
3 Poláčik, Peter
3 Savo, Alessandro
3 Schulze, Bert-Wolfgang
3 Schwab, Christoph
3 Sigal, Israel Michael
3 Soave, Nicola
3 Soffer, Avraham
3 Steinerberger, Stefan
3 Swetina, Jörg
3 Tidblom, Jesper
3 Yang, Xiaoping
2 Aghajani, Asadollah
2 Alberti, Giovanni S.
2 Alziary, Bénédicte
2 Ammann, Bernd Eberhard
2 Bal, Guillaume
2 Ballmann, Hans Werner
...and 418 more Authors
all top 5

Cited in 155 Serials

27 Journal of Mathematical Physics
25 Communications in Mathematical Physics
25 Journal of Functional Analysis
18 Calculus of Variations and Partial Differential Equations
12 Journal of Differential Equations
11 Transactions of the American Mathematical Society
11 Journal of Spectral Theory
10 Journal of Mathematical Analysis and Applications
10 Letters in Mathematical Physics
10 Advances in Mathematics
9 Numerische Mathematik
8 Archive for Rational Mechanics and Analysis
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Duke Mathematical Journal
7 Proceedings of the American Mathematical Society
7 Communications in Partial Differential Equations
7 Communications in Contemporary Mathematics
7 Lobachevskii Journal of Mathematics
6 Reviews in Mathematical Physics
5 Journal d’Analyse Mathématique
5 Geometric and Functional Analysis. GAFA
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Communications on Pure and Applied Mathematics
4 The Journal of Geometric Analysis
4 SIAM Journal on Mathematical Analysis
4 Annales de l’Institut Henri Poincaré. Physique Théorique
4 Journal of Mathematical Sciences (New York)
4 Documenta Mathematica
4 Journal of the European Mathematical Society (JEMS)
4 Annales Henri Poincaré
3 Journal of Computational Physics
3 Journal of Statistical Physics
3 Reports on Mathematical Physics
3 Annales de l’Institut Fourier
3 Mathematische Annalen
3 Mathematische Zeitschrift
3 Siberian Mathematical Journal
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Annals of Physics
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Bulletin of the American Mathematical Society. New Series
3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Science China. Mathematics
3 Ufimskiĭ Matematicheskiĭ Zhurnal
3 Bulletin of Mathematical Sciences
3 Annales Mathématiques du Québec
2 Israel Journal of Mathematics
2 Mathematical Methods in the Applied Sciences
2 Reviews of Modern Physics
2 Arkiv för Matematik
2 Functional Analysis and its Applications
2 Indiana University Mathematics Journal
2 Inventiones Mathematicae
2 Journal of Computational and Applied Mathematics
2 Mathematica Scandinavica
2 Annals of Global Analysis and Geometry
2 Forum Mathematicum
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Russian Mathematics
2 Electronic Journal of Differential Equations (EJDE)
2 Advances in Computational Mathematics
2 Journal of Mathematical Chemistry
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Vietnam Journal of Mathematics
2 Foundations of Computational Mathematics
2 Discrete and Continuous Dynamical Systems. Series B
2 Portugaliae Mathematica. Nova Série
2 Advanced Nonlinear Studies
2 Communications on Pure and Applied Analysis
2 Multiscale Modeling & Simulation
2 Oberwolfach Reports
2 Complex Variables and Elliptic Equations
2 Journal of Physics A: Mathematical and Theoretical
2 Mathematics in Engineering
1 Applicable Analysis
1 International Journal of Control
1 Journal of the Mechanics and Physics of Solids
1 Mathematical Notes
1 Nonlinearity
1 Russian Mathematical Surveys
1 Journal of Geometry and Physics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 Bulletin de la Société Mathématique de France
1 Compositio Mathematica
1 Czechoslovak Mathematical Journal
1 Hokkaido Mathematical Journal
1 Integral Equations and Operator Theory
1 Journal of Combinatorial Theory. Series A
1 Journal of Differential Geometry
1 Journal of the London Mathematical Society. Second Series
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
1 Manuscripta Mathematica
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Proceedings of the Edinburgh Mathematical Society. Series II
...and 55 more Serials
all top 5

Cited in 49 Fields

331 Partial differential equations (35-XX)
150 Quantum theory (81-XX)
60 Global analysis, analysis on manifolds (58-XX)
55 Real functions (26-XX)
54 Operator theory (47-XX)
37 Numerical analysis (65-XX)
35 Functional analysis (46-XX)
35 Calculus of variations and optimal control; optimization (49-XX)
23 Statistical mechanics, structure of matter (82-XX)
18 Differential geometry (53-XX)
12 Ordinary differential equations (34-XX)
10 Potential theory (31-XX)
8 Special functions (33-XX)
7 Functions of a complex variable (30-XX)
7 Approximations and expansions (41-XX)
7 Optics, electromagnetic theory (78-XX)
6 Combinatorics (05-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Probability theory and stochastic processes (60-XX)
6 Mechanics of particles and systems (70-XX)
5 Topological groups, Lie groups (22-XX)
5 Difference and functional equations (39-XX)
4 Algebraic geometry (14-XX)
4 Measure and integration (28-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Abstract harmonic analysis (43-XX)
4 Geometry (51-XX)
4 Convex and discrete geometry (52-XX)
3 History and biography (01-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Statistics (62-XX)
3 Computer science (68-XX)
3 Biology and other natural sciences (92-XX)
2 General and overarching topics; collections (00-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Group theory and generalizations (20-XX)
2 Integral equations (45-XX)
2 Algebraic topology (55-XX)
2 Manifolds and cell complexes (57-XX)
2 Mechanics of deformable solids (74-XX)
2 Fluid mechanics (76-XX)
2 Relativity and gravitational theory (83-XX)
2 Operations research, mathematical programming (90-XX)
2 Systems theory; control (93-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Integral transforms, operational calculus (44-XX)
1 General topology (54-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year