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Nier, Francis

Co-Author Distance
Author ID: nier.francis Recent zbMATH articles by "Nier, Francis"
Published as: Nier, Francis; Nier, F.
Homepage: https://www.math.univ-paris13.fr/~nier/
External Links: MGP · ResearchGate · dblp · IdRef · theses.fr
Documents Indexed: 68 Publications since 1990, including 4 Books and 4 Additional arXiv Preprints
Co-Authors: 34 Co-Authors with 43 Joint Publications
985 Co-Co-Authors
all top 5

Co-Authors

24 single-authored
6 Ammari, Zied
5 Nataf, Frédéric
4 Helffer, Bernard
4 Mantile, Andrea
3 Bonnaillie-Noël, Virginie
3 Chniti, Chokri
3 Faraj, Ali
3 Gérard, Christian
3 Patel, Yassine
2 Aftalion, Amandine
2 Arnold, Anton
2 Breteaux, Sébastien
2 Degond, Pierre
2 Le Peutrec, Dorian
2 Lelièvre, Tony
2 Mustieles, Francisco-José
2 Sang, Xingfeng
2 Viterbo, Claude
2 White, Francis
1 Blanc, Xavier
1 Delaurens, Frédérique
1 Gallagher, Isabelle
1 Gallay, Thierry
1 Guyot-Delaurens, F.
1 Hérau, Frédéric
1 Hmidi, Taoufik
1 Klein, Markus
1 Liard, Quentin
1 Pavliotis, Grigorios A.
1 Rouffort, C.
1 Said, Mona Ben
1 Shen, Shu
1 Soffer, Avraham
1 Viola, Joe
all top 5

Serials

6 Séminaire Équations aux Dérivées Partielles
3 Journal of Functional Analysis
2 Asymptotic Analysis
2 IMRN. International Mathematics Research Notices
2 Communications in Partial Differential Equations
2 Annales Henri Poincaré
1 Archive for Rational Mechanics and Analysis
1 Journal of Computational Physics
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Transport Theory and Statistical Physics
1 Mathematics of Computation
1 Reviews in Mathematical Physics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Calcolo
1 Journal of Mathematics of Kyoto University
1 Journal of the Mathematical Society of Japan
1 Memoirs of the American Mathematical Society
1 Numerische Mathematik
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 COMPEL
1 Journal of Scientific Computing
1 Forum Mathematicum
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Serdica Mathematical Journal
1 Matemática Contemporânea
1 Mathematical Physics, Analysis and Geometry
1 RIMS Kokyuroku
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Astérisque
1 Lecture Notes in Mathematics
1 Journal of Physics A: Mathematical and Theoretical
1 Analysis & PDE
1 Tunisian Journal of Mathematics
all top 5

Fields

41 Partial differential equations (35-XX)
30 Quantum theory (81-XX)
15 Statistical mechanics, structure of matter (82-XX)
14 Operator theory (47-XX)
12 Numerical analysis (65-XX)
10 Global analysis, analysis on manifolds (58-XX)
6 Ordinary differential equations (34-XX)
5 Probability theory and stochastic processes (60-XX)
4 Dynamical systems and ergodic theory (37-XX)
2 Potential theory (31-XX)
2 Special functions (33-XX)
2 Integral equations (45-XX)
2 Functional analysis (46-XX)
2 Fluid mechanics (76-XX)
2 Optics, electromagnetic theory (78-XX)
1 History and biography (01-XX)
1 Measure and integration (28-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of particles and systems (70-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

52 Publications have been cited 1,058 times in 702 Documents Cited by ▼ Year ▼
Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential. Zbl 1139.82323
Hérau, Frédéric; Nier, Francis
149
2004
Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians. Zbl 1072.35006
Helffer, Bernard; Nier, Francis
144
2005
Mean field limit for bosons and infinite dimensional phase-space analysis. Zbl 1171.81014
Ammari, Zied; Nier, Francis
69
2008
Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion. Zbl 1276.82042
Lelièvre, T.; Nier, F.; Pavliotis, G. A.
53
2013
The Mourre theory for analytically fibered operators. Zbl 0939.47019
Gérard, Christian; Nier, Francis
49
1998
Lowest Landau level functional and Bargmann spaces for Bose-Einstein condensates. Zbl 1118.82004
Aftalion, A.; Blanc, X.; Nier, F.
49
2006
Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach. Zbl 1079.58025
Helffer, Bernard; Klein, Markus; Nier, Francis
47
2004
Mean field propagation of Wigner measures and BBGKY hierarchies for general bosonic states. Zbl 1251.81062
Ammari, Z.; Nier, F.
43
2011
Convergence rate of some domain decomposition methods for overlapping and nonoverlapping subdomains. Zbl 0873.65108
Nataf, Frédéric; Nier, F.
32
1997
Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach: the case with boundary. Zbl 1108.58018
Nier, F.; Helffer, B.
32
2006
Mean field limit for bosons and propagation of Wigner measures. Zbl 1214.81089
Ammari, Z.; Nier, F.
32
2009
Spectral asymptotics for large skew-symmetric perturbations of the harmonic oscillator. Zbl 1180.35383
Gallagher, Isabelle; Gallay, Thierry; Nier, Francis
30
2009
A variational formulation of Schrödinger–Poisson systems in dimension \(d\leq3\). Zbl 0785.35086
Nier, Francis
29
1993
A stationary Schrödinger-Poisson system arising from the modelling of electronic devices. Zbl 0716.34098
Nier, Francis
28
1990
The dynamics of some quantum open systems with short-range nonlinearities. Zbl 0909.34052
Nier, Francis
26
1998
Mean field propagation of infinite-dimensional Wigner measures with a singular two-body interaction potential. Zbl 1341.81037
Ammari, Zied; Nier, Francis
24
2015
Scattering theory for the perturbations of periodic Schrödinger operators. Zbl 0934.35111
Gérard, Christian; Nier, Francis
22
1998
A semi-classical picture of quantum scattering. Zbl 0858.35106
Nier, Francis
21
1996
Precise Arrhenius law for \(p\)-forms: the Witten Laplacian and Morse-Barannikov complex. Zbl 1275.58018
Le Peutrec, Dorian; Nier, Francis; Viterbo, Claude
19
2013
The two-dimensional Wigner-Poisson problem for an electron gas in the charge neutral case. Zbl 0742.35078
Arnold, Anton; Nier, Francis
13
1991
Schrödinger-Poisson systems in dimension \(d\leqq 3\): The whole-space case. Zbl 0807.35119
Nier, F.
12
1993
Boundary conditions and subelliptic estimates for geometric Kramers-Fokker-Planck operators on manifolds with boundaries. Zbl 1419.35001
Nier, Francis
11
2018
Low temperature asymptotics for quasistationary distributions in a bounded domain. Zbl 1320.58021
Lelièvre, Tony; Nier, Francis
10
2015
Bose-Einstein condensates in the lowest Landau level: Hamiltonian dynamics. Zbl 1129.82023
Nier, F.
9
2007
Hypoellipticity for Fokker-Planck operators and Witten Laplacians. Zbl 1286.35283
Nier, Francis
7
2012
Remarks on domain decomposition algorithms. (Remarques sur les algorithmes de décomposition de domaines.) Zbl 1058.65514
Nier, F.
7
1999
Quantum mean-field asymptotics and multiscale analysis. Zbl 1407.81117
Ammari, Zied; Breteaux, Sébastien; Nier, Francis
6
2019
Adiabatic evolution of 1D shape resonances: an artificial interface conditions approach. Zbl 1223.35125
Faraj, Ali; Mantile, Andrea; Nier, Francis
6
2011
Asymptotic analysis of a scaled Wigner equation and quantum scattering. Zbl 0870.45003
Nier, Francis
6
1995
Dispersion and Strichartz estimates for some finite rank perturbations of the Laplace operator. Zbl 1034.35017
Nier, F.; Soffer, A.
6
2003
Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells II. Zbl 1157.82046
Bonnaillie-Noël, Virginie; Nier, Francis; Patel, Yassine
6
2009
Criteria to the Poincaré inequality associated with Dirichlet forms in \(\mathbb{R}^d,\,d\geq 2\). Zbl 1098.31005
Helffer, Bernard; Nier, Francis
5
2003
About theta functions and the Abrikosov lattice. (A propos des fonctions thêta et des réseaux d’Abrikosov.) Zbl 1171.33012
Nier, Francis
5
2007
Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells. I. Zbl 1149.82349
Bonnaillie-Noël, V.; Nier, F.; Patel, Y.
5
2008
Computing the steady states for an asymptotic model of quantum transport in resonant heterostructures. Zbl 1189.82129
Bonnaillie-Noël, Virginie; Nier, Francis; Patel, Yassine
5
2006
Improved interface conditions for \(2 D\) domain decomposition with corners: numerical applications. Zbl 1203.65274
Chniti, Chokri; Nataf, Frédéric; Nier, Francis
5
2009
Improved interface conditions for a non-overlapping domain decomposition of a nonconvex polygonal domain. Zbl 1096.65124
Chniti, Chokri; Nataf, Frédéric; Nier, Francis
4
2006
Time-dependent delta-interactions for 1D Schrödinger Hamiltonians. Zbl 1190.37013
Hmidi, Toufik; Mantile, Andrea; Nier, Francis
4
2010
Quaternionic structure and analysis of some Kramers-Fokker-Planck operators. Zbl 1452.35213
Said, Mona Ben; Nier, Francis; Viola, Joe
4
2020
Particle simulation of bidimensional electron transport parallel to a heterojunction interface. Zbl 0724.65133
Degond, P.; Delaurens, F.; Mustieles, F. J.; Nier, F.
3
1990
An explicit model for the adiabatic evolution of quantum observables driven by 1D shape resonances. Zbl 1204.81071
Faraj, A.; Mantile, A.; Nier, F.
3
2010
Improved interface conditions for 2D domain decomposition with corners: A theoretical determination. Zbl 1173.65364
Chniti, Chokri; Nataf, Frédéric; Nier, Francis
3
2008
Nonlinear asymptotics for quantum out-of-equilibrium 1D systems: reduced models and algorithms. Zbl 1322.82003
Nier, F.; Patel, M.
2
2004
Convergence of domain decomposition methods via semi-classical calculus. Zbl 0909.35007
Nataf, Frédéric; Nier, Francis
2
1998
Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach. Zbl 1067.35057
Nier, Francis
2
2004
Semiconductor modelling via the Boltzmann equation. Zbl 0732.35098
Degond, P.; Guyot-Delaurens, F.; Mustieles, F. J.; Nier, F.
2
1991
Accurate WKB approximation for a 1D problem with low regularity. Zbl 1199.81023
Nier, F.
2
2008
On the relationship between non-linear Schrödinger dynamics, Gross-Pitaevskli hierarchy and Liouville’s equation. Zbl 1369.37072
Ammari, Zied; Nier, F.; Liard, Q.; Rouffort, C.
1
2017
Numerical analysis of the deterministic particle method applied to the Wigner equation. Zbl 0763.65092
Arnold, Anton; Nier, Francis
1
1992
Double scale analysis of a Schröder-Poisson system with quantum wells and macroscopic nonlinearities in dimension 2 and 3. Zbl 1163.35465
Faraj, A.; Mantile, A.; Nier, F.
1
2009
Accurate estimates for the exponential decay of semigroups with non-self-adjoint generators. Zbl 07270990
Nier, Francis
1
2014
Bar codes of persistent cohomology and Arrhenius law for \(p\)-forms. Zbl 07898079
Le Peutrec, D.; Nier, F.; Viterbo, C.
1
2024
Bar codes of persistent cohomology and Arrhenius law for \(p\)-forms. Zbl 07898079
Le Peutrec, D.; Nier, F.; Viterbo, C.
1
2024
Quaternionic structure and analysis of some Kramers-Fokker-Planck operators. Zbl 1452.35213
Said, Mona Ben; Nier, Francis; Viola, Joe
4
2020
Quantum mean-field asymptotics and multiscale analysis. Zbl 1407.81117
Ammari, Zied; Breteaux, Sébastien; Nier, Francis
6
2019
Boundary conditions and subelliptic estimates for geometric Kramers-Fokker-Planck operators on manifolds with boundaries. Zbl 1419.35001
Nier, Francis
11
2018
On the relationship between non-linear Schrödinger dynamics, Gross-Pitaevskli hierarchy and Liouville’s equation. Zbl 1369.37072
Ammari, Zied; Nier, F.; Liard, Q.; Rouffort, C.
1
2017
Mean field propagation of infinite-dimensional Wigner measures with a singular two-body interaction potential. Zbl 1341.81037
Ammari, Zied; Nier, Francis
24
2015
Low temperature asymptotics for quasistationary distributions in a bounded domain. Zbl 1320.58021
Lelièvre, Tony; Nier, Francis
10
2015
Accurate estimates for the exponential decay of semigroups with non-self-adjoint generators. Zbl 07270990
Nier, Francis
1
2014
Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion. Zbl 1276.82042
Lelièvre, T.; Nier, F.; Pavliotis, G. A.
53
2013
Precise Arrhenius law for \(p\)-forms: the Witten Laplacian and Morse-Barannikov complex. Zbl 1275.58018
Le Peutrec, Dorian; Nier, Francis; Viterbo, Claude
19
2013
Hypoellipticity for Fokker-Planck operators and Witten Laplacians. Zbl 1286.35283
Nier, Francis
7
2012
Mean field propagation of Wigner measures and BBGKY hierarchies for general bosonic states. Zbl 1251.81062
Ammari, Z.; Nier, F.
43
2011
Adiabatic evolution of 1D shape resonances: an artificial interface conditions approach. Zbl 1223.35125
Faraj, Ali; Mantile, Andrea; Nier, Francis
6
2011
Time-dependent delta-interactions for 1D Schrödinger Hamiltonians. Zbl 1190.37013
Hmidi, Toufik; Mantile, Andrea; Nier, Francis
4
2010
An explicit model for the adiabatic evolution of quantum observables driven by 1D shape resonances. Zbl 1204.81071
Faraj, A.; Mantile, A.; Nier, F.
3
2010
Mean field limit for bosons and propagation of Wigner measures. Zbl 1214.81089
Ammari, Z.; Nier, F.
32
2009
Spectral asymptotics for large skew-symmetric perturbations of the harmonic oscillator. Zbl 1180.35383
Gallagher, Isabelle; Gallay, Thierry; Nier, Francis
30
2009
Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells II. Zbl 1157.82046
Bonnaillie-Noël, Virginie; Nier, Francis; Patel, Yassine
6
2009
Improved interface conditions for \(2 D\) domain decomposition with corners: numerical applications. Zbl 1203.65274
Chniti, Chokri; Nataf, Frédéric; Nier, Francis
5
2009
Double scale analysis of a Schröder-Poisson system with quantum wells and macroscopic nonlinearities in dimension 2 and 3. Zbl 1163.35465
Faraj, A.; Mantile, A.; Nier, F.
1
2009
Mean field limit for bosons and infinite dimensional phase-space analysis. Zbl 1171.81014
Ammari, Zied; Nier, Francis
69
2008
Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells. I. Zbl 1149.82349
Bonnaillie-Noël, V.; Nier, F.; Patel, Y.
5
2008
Improved interface conditions for 2D domain decomposition with corners: A theoretical determination. Zbl 1173.65364
Chniti, Chokri; Nataf, Frédéric; Nier, Francis
3
2008
Accurate WKB approximation for a 1D problem with low regularity. Zbl 1199.81023
Nier, F.
2
2008
Bose-Einstein condensates in the lowest Landau level: Hamiltonian dynamics. Zbl 1129.82023
Nier, F.
9
2007
About theta functions and the Abrikosov lattice. (A propos des fonctions thêta et des réseaux d’Abrikosov.) Zbl 1171.33012
Nier, Francis
5
2007
Lowest Landau level functional and Bargmann spaces for Bose-Einstein condensates. Zbl 1118.82004
Aftalion, A.; Blanc, X.; Nier, F.
49
2006
Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach: the case with boundary. Zbl 1108.58018
Nier, F.; Helffer, B.
32
2006
Computing the steady states for an asymptotic model of quantum transport in resonant heterostructures. Zbl 1189.82129
Bonnaillie-Noël, Virginie; Nier, Francis; Patel, Yassine
5
2006
Improved interface conditions for a non-overlapping domain decomposition of a nonconvex polygonal domain. Zbl 1096.65124
Chniti, Chokri; Nataf, Frédéric; Nier, Francis
4
2006
Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians. Zbl 1072.35006
Helffer, Bernard; Nier, Francis
144
2005
Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential. Zbl 1139.82323
Hérau, Frédéric; Nier, Francis
149
2004
Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach. Zbl 1079.58025
Helffer, Bernard; Klein, Markus; Nier, Francis
47
2004
Nonlinear asymptotics for quantum out-of-equilibrium 1D systems: reduced models and algorithms. Zbl 1322.82003
Nier, F.; Patel, M.
2
2004
Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach. Zbl 1067.35057
Nier, Francis
2
2004
Dispersion and Strichartz estimates for some finite rank perturbations of the Laplace operator. Zbl 1034.35017
Nier, F.; Soffer, A.
6
2003
Criteria to the Poincaré inequality associated with Dirichlet forms in \(\mathbb{R}^d,\,d\geq 2\). Zbl 1098.31005
Helffer, Bernard; Nier, Francis
5
2003
Remarks on domain decomposition algorithms. (Remarques sur les algorithmes de décomposition de domaines.) Zbl 1058.65514
Nier, F.
7
1999
The Mourre theory for analytically fibered operators. Zbl 0939.47019
Gérard, Christian; Nier, Francis
49
1998
The dynamics of some quantum open systems with short-range nonlinearities. Zbl 0909.34052
Nier, Francis
26
1998
Scattering theory for the perturbations of periodic Schrödinger operators. Zbl 0934.35111
Gérard, Christian; Nier, Francis
22
1998
Convergence of domain decomposition methods via semi-classical calculus. Zbl 0909.35007
Nataf, Frédéric; Nier, Francis
2
1998
Convergence rate of some domain decomposition methods for overlapping and nonoverlapping subdomains. Zbl 0873.65108
Nataf, Frédéric; Nier, F.
32
1997
A semi-classical picture of quantum scattering. Zbl 0858.35106
Nier, Francis
21
1996
Asymptotic analysis of a scaled Wigner equation and quantum scattering. Zbl 0870.45003
Nier, Francis
6
1995
A variational formulation of Schrödinger–Poisson systems in dimension \(d\leq3\). Zbl 0785.35086
Nier, Francis
29
1993
Schrödinger-Poisson systems in dimension \(d\leqq 3\): The whole-space case. Zbl 0807.35119
Nier, F.
12
1993
Numerical analysis of the deterministic particle method applied to the Wigner equation. Zbl 0763.65092
Arnold, Anton; Nier, Francis
1
1992
The two-dimensional Wigner-Poisson problem for an electron gas in the charge neutral case. Zbl 0742.35078
Arnold, Anton; Nier, Francis
13
1991
Semiconductor modelling via the Boltzmann equation. Zbl 0732.35098
Degond, P.; Guyot-Delaurens, F.; Mustieles, F. J.; Nier, F.
2
1991
A stationary Schrödinger-Poisson system arising from the modelling of electronic devices. Zbl 0716.34098
Nier, Francis
28
1990
Particle simulation of bidimensional electron transport parallel to a heterojunction interface. Zbl 0724.65133
Degond, P.; Delaurens, F.; Mustieles, F. J.; Nier, F.
3
1990
all cited Publications top 5 cited Publications
all top 5

Cited by 856 Authors

22 Nier, Francis
16 Pavliotis, Grigorios A.
15 Rougerie, Nicolas
13 Lewin, Mathieu
12 Lelièvre, Tony
12 Li, Weixi
11 Hérau, Frédéric
10 Bétermin, Laurent
10 Falconi, Marco
10 Helffer, Bernard
10 Le Peutrec, Dorian
10 Méhats, Florian
10 Phan Thành Nam
10 Pravda-Starov, Karel
9 Ammari, Zied
9 Arnold, Anton
9 Ben Abdallah, Naoufel
9 Correggi, Michele
9 Dolbeault, Jean
9 Nectoux, Boris
8 Hitrik, Michael
8 Mouhot, Clément
8 Thomann, Laurent
7 Guillin, Arnaud
7 Michel, Laurent
7 Mischler, Stéphane
7 Nataf, Frédéric
7 Schlein, Benjamin
7 Sohinger, Vedran
7 Stoltz, Gabriel
7 Tentarelli, Lorenzo
6 Aftalion, Amandine
6 Bedrossian, Jacob
6 Breteaux, Sébastien
6 Gander, Martin Jakob
6 Klein, Markus
6 Niikuni, Hiroaki
6 Rosenberger, Elke
6 Sjöstrand, Johannes
5 Chen, Hua
5 Chniti, Chokri
5 Coti Zelati, Michele
5 Di Gesù, Giacomo
5 Geuzaine, Christophe A.
5 Grothaus, Martin
5 Herda, Maxime
5 Hwang, Hyung Ju
5 Kuchment, Peter A.
5 Lange, Horst
5 Léautaud, Matthieu
5 López, José Luis
5 Macià, Fabricio
5 Maekawa, Yasunori
5 Mantile, Andrea
5 Pinaud, Olivier
5 Popoff, Nicolas
5 Rehberg, Joachim
5 Schlichting, André
5 Sigal, Israel Michael
5 Soler, Juan S.
5 Yngvason, Jakob
4 Adami, Riccardo
4 Bierkens, Joris
4 Blanc, Xavier
4 Carles, Rémi
4 Castella, François
4 Chen, Thomas
4 Evans, Josephine A.
4 Fermanian-Kammerer, Clotilde
4 Germain, Pierre
4 Häfner, Dietrich
4 Hairer, Martin
4 Jang, Juhi
4 Kaiser, Hans-Christoph
4 Karaki, Zeinab
4 Komech, Alexander Ilich
4 Menozzi, Stéphane
4 Neidhardt, Hagen
4 Olivieri, Marco
4 Rivière, Gabriel
4 Schmeiser, Christian
4 Seiringer, Robert
4 Seo, Insuk
4 Serfaty, Sylvia
4 Viola, Joe
4 Xu, Chao-Jiang
4 Zhang, Hui
3 Aida, Shigeki
3 Almog, Yaniv
3 Amour, Laurent
3 Antoine, Xavier
3 Baudoin, Fabrice
3 Boni, Filippo
3 Bony, Jean-François
3 Bouin, Emeric
3 Burq, Nicolas
3 Carlone, Raffaele
3 Carrapatoso, Kleber
3 Cattiaux, Patrick
3 Chen, Xuwen
...and 756 more Authors
all top 5

Cited in 183 Serials

36 Journal of Functional Analysis
31 Journal of Statistical Physics
29 Journal of Mathematical Physics
25 Communications in Mathematical Physics
22 Annales Henri Poincaré
19 Archive for Rational Mechanics and Analysis
18 Communications in Partial Differential Equations
17 Journal de Mathématiques Pures et Appliquées. Neuvième Série
17 SIAM Journal on Mathematical Analysis
14 Reviews in Mathematical Physics
14 Journal of Differential Equations
13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
12 Kinetic and Related Models
11 Journal of Computational Physics
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Journal of Mathematical Analysis and Applications
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 Nonlinearity
8 Transactions of the American Mathematical Society
8 Pure and Applied Analysis
7 Annales de l’Institut Fourier
7 Inventiones Mathematicae
7 The Annals of Applied Probability
6 Communications on Pure and Applied Mathematics
6 Mathematics of Computation
6 Journal of Nonlinear Science
6 Analysis & PDE
6 SIAM/ASA Journal on Uncertainty Quantification
5 Letters in Mathematical Physics
5 Integral Equations and Operator Theory
5 Memoirs of the American Mathematical Society
5 Quarterly of Applied Mathematics
5 Journal of Scientific Computing
5 Stochastic Processes and their Applications
5 Journal of the European Mathematical Society (JEMS)
5 Communications in Contemporary Mathematics
5 Journal of Evolution Equations
5 Journal of Physics A: Mathematical and Theoretical
5 Journal of Pseudo-Differential Operators and Applications
4 Mathematical Methods in the Applied Sciences
4 Advances in Mathematics
4 Journal of Computational and Applied Mathematics
4 Numerische Mathematik
4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
4 Multiscale Modeling & Simulation
4 Journal of the Institute of Mathematics of Jussieu
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Journal de l’École Polytechnique – Mathématiques
4 Séminaire Laurent Schwartz. EDP et Applications
4 Annales Henri Lebesgue
3 Reports on Mathematical Physics
3 Proceedings of the American Mathematical Society
3 SIAM Journal on Numerical Analysis
3 Tokyo Journal of Mathematics
3 Probability Theory and Related Fields
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 St. Petersburg Mathematical Journal
3 Bulletin des Sciences Mathématiques
3 Discrete and Continuous Dynamical Systems
3 Doklady Mathematics
3 Acta Numerica
3 Oberwolfach Reports
3 Science China. Mathematics
3 Journal of Spectral Theory
3 Analysis and Mathematical Physics
3 Statistics and Computing
3 Annals of PDE
2 Computer Methods in Applied Mechanics and Engineering
2 Transport Theory and Statistical Physics
2 The Annals of Probability
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Applied Mathematics and Computation
2 Mathematische Annalen
2 Mathematische Nachrichten
2 Mathematische Zeitschrift
2 Monatshefte für Mathematik
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 SIAM Journal on Control and Optimization
2 Annals of Global Analysis and Geometry
2 Physica D
2 Applied Numerical Mathematics
2 Revista Matemática Iberoamericana
2 Numerical Methods for Partial Differential Equations
2 Applied Mathematics Letters
2 Bulletin of the American Mathematical Society. New Series
2 SIAM Journal on Scientific Computing
2 Bernoulli
2 Documenta Mathematica
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
2 Communications on Pure and Applied Analysis
2 SIAM Journal on Applied Dynamical Systems
2 Communications in Computational Physics
2 Discrete and Continuous Dynamical Systems. Series S
2 S\(\vec{\text{e}}\)MA Journal
2 Stochastic and Partial Differential Equations. Analysis and Computations
2 EMS Surveys in Mathematical Sciences
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Tunisian Journal of Mathematics
2 Probability and Mathematical Physics
1 Advances in Applied Probability
...and 83 more Serials
all top 5

Cited in 51 Fields

462 Partial differential equations (35-XX)
236 Statistical mechanics, structure of matter (82-XX)
188 Quantum theory (81-XX)
121 Probability theory and stochastic processes (60-XX)
113 Operator theory (47-XX)
101 Numerical analysis (65-XX)
52 Global analysis, analysis on manifolds (58-XX)
47 Dynamical systems and ergodic theory (37-XX)
47 Fluid mechanics (76-XX)
28 Ordinary differential equations (34-XX)
24 Optics, electromagnetic theory (78-XX)
23 Functional analysis (46-XX)
17 Differential geometry (53-XX)
14 Calculus of variations and optimal control; optimization (49-XX)
14 Systems theory; control (93-XX)
11 Integral equations (45-XX)
11 Biology and other natural sciences (92-XX)
9 Algebraic geometry (14-XX)
9 Statistics (62-XX)
9 Mechanics of deformable solids (74-XX)
9 Relativity and gravitational theory (83-XX)
8 Combinatorics (05-XX)
7 Real functions (26-XX)
6 Several complex variables and analytic spaces (32-XX)
6 Difference and functional equations (39-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Manifolds and cell complexes (57-XX)
5 Measure and integration (28-XX)
5 Functions of a complex variable (30-XX)
5 Mechanics of particles and systems (70-XX)
5 Information and communication theory, circuits (94-XX)
4 General and overarching topics; collections (00-XX)
4 Number theory (11-XX)
4 Algebraic topology (55-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Topological groups, Lie groups (22-XX)
3 Potential theory (31-XX)
3 Integral transforms, operational calculus (44-XX)
3 Convex and discrete geometry (52-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Special functions (33-XX)
2 Geometry (51-XX)
2 Astronomy and astrophysics (85-XX)
2 Operations research, mathematical programming (90-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Group theory and generalizations (20-XX)
1 Approximations and expansions (41-XX)
1 Computer science (68-XX)

Citations by Year