Found 92 Documents (Results 1–92)
Lieb-Thirring and Jensen sums for non-self-adjoint Schrödinger operators on the half-line. (English) Zbl 1539.34091
Lieb-Thirring inequalities and other functional inequalities for orthonormal systems. (English) Zbl 07823084
Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 5. Sections 9–11. Berlin: European Mathematical Society (EMS). 3756-3774 (2023).
Improved sharp spectral inequalities for Schrödinger operators on the semi-axis. (English) Zbl 1529.34077
Reviewer: Erdoğan Şen (Tekirdağ)
A proof of the Lieb-Thirring inequality via the Besicovitch covering lemma. (English) Zbl 1515.81247
MSC:
81V74
A Lieb-Thirring inequality for extended anyons. (English) Zbl 1508.35101
Reviewer: Konstantin Merz (Braunschweig)
The Araki-Lieb-Thirring inequality and the Golden-Thompson inequality in Euclidean Jordan algebras. (English) Zbl 1522.17038
Reviewer: Minghua Lin (Xi’an)
Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg interpolation inequalities associated with Coulomb-Sobolev spaces. (English) Zbl 1496.26022
On Lieb-Thirring inequalities for one-dimensional non-self-adjoint Jacobi and Schrödinger operators. (English) Zbl 07481672
Lieb-Thirring inequalities for wave functions vanishing on the diagonal set. (Inégalités de Lieb-Thirring pour les fonctions d’ondes nulles sur la diagonale.) (English. French summary) Zbl 1486.81175
The periodic Lieb-Thirring inequality. (English) Zbl 1480.81045
Exner, Pavel (ed.) et al., Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 135-154 (2021).
Inequalities involving Aharonov-Bohm magnetic potentials in dimensions \(2\) and \(3\). (English) Zbl 1499.81058
Symmetry results in two-dimensional inequalities for Aharonov-Bohm magnetic fields. (English) Zbl 1439.81049
Number of eigenvalues of non-self-adjoint Schrödinger operators with dilation analytic complex potentials. (English) Zbl 1441.81099
\(L_p\)-spectrum and Lieb-Thirring inequalities for Schrödinger operators on the hyperbolic plane. (English) Zbl 1499.58022
Global existence versus finite time blowup dichotomy for the system of nonlinear Schrödinger equations. (English. French summary) Zbl 1417.35178
Asymptotic behavior for the quasi-geostrophic equations with fractional dissipation in \(\mathbb{R}^2\). (English) Zbl 1409.35034
Lieb-Thirring and Cwickel-Lieb-Rozenblum inequalities for perturbed graphene with a Coulomb impurity. (English) Zbl 1394.35303
Lieb-Thirring inequality with semiclassical constant and gradient error term. (English) Zbl 1414.35185
Reviewer: Joseph Shomberg (Providence)
Nonlinear flows and optimality for functional inequalities: an extended abstract. (English) Zbl 1396.58023
Manchanda, Pammy (ed.) et al., Industrial mathematics and complex systems. Emerging mathematical models, methods and algorithms. Based on the presentations at the international conference, Greater Noida, India, January 29–31, 2016. Singapore: Springer (ISBN 978-981-10-3757-3/hbk; 978-981-10-3758-0/ebook). Industrial and Applied Mathematics, 21-26 (2017).
Generalization of some inequalities for matrix exponentials to Lie groups. (English) Zbl 1390.15067
Reviewer: Drahoslava Janovská (Praha)
Multivariate trace inequalities. (English) Zbl 1365.15027
Reviewer: Adam Besenyei (Budapest)
Optimal design problems for Schrödinger operators with noncompact resolvents. (English) Zbl 1358.49014
Littlewood-Paley decomposition of operator densities and application to a new proof of the Lieb-Thirring inequality. (English) Zbl 1413.42017
On the Araki-Lieb-Thirring inequality in the semifinite von Neumann algebra. (English) Zbl 1431.47004
Reviewer: Lajos Molnár (Szeged)
Generalization of Golden-Thompson type inequalities for normal matrices. (English) Zbl 1361.15023
Reviewer: Martin Plešinger (Liberec)
Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction. (English. French summary) Zbl 1333.35221
Reviewer: Boris A. Malomed (Tel Aviv)
On complex perturbations of infinite band Schrödinger operators. (English) Zbl 1363.34317
Reviewer: Anatoly N. Kochubei (Kyïv)
Note on Lieb-Thirring type inequalities for a complex perturbation of fractional Laplacian. (English) Zbl 1332.35245
Reviewer: Michael Perelmuter (Kyïv)
Submajorization of the Araki-Lieb-Thirring inequality. (English) Zbl 1357.47016
Reviewer: Jiangtao Yuan (Henan)
Semi-classical trace asymptotics for magnetic Schrödinger operators with Robin condition. (English) Zbl 1321.81022
Reviewer: Wencai Liu (Shanghai)
One-dimensional projective structures, convex curves and the ovals of Benguria and Loss. (English) Zbl 1319.47015
Reviewer: Alina Stancu (Montréal)
The Hartree equation for infinitely many particles. I: Well-posedness theory. (English) Zbl 1312.35146
Reviewer: Piotr Biler (Wroclaw)
Spectral and analytic properties of non-local Schrödinger operators and related jump processes. (English) Zbl 1329.81191
On quantitative bounds on eigenvalues of a complex perturbation of a Dirac operator. (English) Zbl 1302.35274
Open problems: Lieb-Thirring type inequalities for Schrödinger operators with a complex-valued potential. (English) Zbl 1279.47071
Reviewer: Mihai Pascu (Bucureşti)
An Araki-Lieb-Thirring inequality for geometrically concave and geometrically convex functions. (English) Zbl 1275.15011
Reviewer: Jorma K. Merikoski (Tampere)
The multi-valued operator function Lieb-Thirring inequality in semifinite von Neumann algebra. (Chinese. English summary) Zbl 1265.46094
Binding, stability, and non-binding of multi-polaron systems. (English) Zbl 1245.82073
Exner, Pavel (ed.), Mathematical results in quantum physics. Proceedings of the QMath11 conference, Hradec Králové, Czech Republc, September 6–10, 2010. Special session in honour of Ari Laptev. With DVD-ROM. Hackensack, NJ: World Scientific (ISBN 978-981-4350-35-8/hbk; 978-981-4350-36-5/ebook). 21-32 (2011).
Eigenvalue estimates for Schrödinger operators on metric trees. (English) Zbl 1237.35157
Reviewer: Monika Winklmeier (Bogotá)
Spectral analysis of relativistic operators. (English) Zbl 1215.81001
Hackensack, NJ: World Scientific (ISBN 978-1-84816-218-1/hbk; 978-1-84816-219-8/ebook). xii, 186 p. (2011).
Reviewer: Piotr Garbaczewski (Opole)
Wavelet characterization of weighted spaces. (English) Zbl 1225.42025
Reviewer: Richard A. Zalik (Auburn University)
Spectral density and Sobolev inequalities for pure and mixed states. (English) Zbl 1218.58021
Reviewer: N. G. Tomin (Ivanovo)
On semiclassical and universal inequalities for eigenvalues of quantum graphs. (English) Zbl 1190.81051
On general Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities. (English) Zbl 1193.35022
Laptev, Ari (ed.), Around the research of Vladimir Maz’ya. III. Analysis and applications. Dordrecht: Springer; Novosibirsk: Tamara Rozhkovskaya Publisher (ISBN 978-1-4419-1344-9/hbk; 978-1-4419-1345-6/ebook; 978-5-9018-7343-4/hbk). International Mathematical Series (New York) 13, 201-246 (2010).
Reviewer: Denis A. White (Toledo)
On the possibility of strengthening the Lieb-Thirring inequality. (English. Russian original) Zbl 1185.26039
Math. Notes 86, No. 6, 753-766 (2009); translation from Mat. Zametki 86, No. 6, 803-818 (2009).
Reviewer: László Leindler (Szeged)
A Lieb-Thirring inequality for singular values. (English) Zbl 1168.15014
Reviewer: Costică Moroşanu (Iaşi)
Estimates for negative eigenvalues of a random Schrödinger operator. (English) Zbl 1161.47032
Reviewer: Anton Bovier (Bonn)
Lieb-Thirring inequality for \(L_p\) norms. (English) Zbl 1159.46017
Math. Notes 83, No. 2, 145-151 (2008); translation from Mat. Zametki 83, No. 2, 163-168 (2008).
On the Araki-Lieb-Thirring inequality. (English) Zbl 1156.15008
Reviewer: Pei Yuan Wu (Hsinchu)
Lyapunov exponents and the dimension of the attractor for 2D shear-thinning incompressible flow. (English) Zbl 1151.37060
Lieb-Thirring inequalities on the half-line with critical exponent. (English) Zbl 1147.35020
Reviewer: Boris V. Loginov (Ul’yanovsk)
MSC:
35J10
Number of bound states of Schrödinger operators with matrix-valued potentials. (English) Zbl 1135.35052
Dimensions of the attractor for the non-autonomous dissipative type of Schrödinger equations. (Chinese. English summary) Zbl 1123.35349
On a class of inequalities for orthonormal systems. (English) Zbl 1130.46005
Math. Notes 80, No. 2, 199-203 (2006); translation from Mat. Zametki 80, No. 2, 204-208 (2006).
Solitons and the removal of eigenvalues for fourth-order differential operators. (English) Zbl 1123.34067
Reviewer: Zoran Kadelburg (Beograd)
Lieb–Thirring type inequalities and Gagliardo–Nirenberg inequalities for systems. (English) Zbl 1104.35021
Reviewer: Georgi E. Karadzhov (Sofia)
On some new spectral estimates for Schrödinger-like operators. (English) Zbl 1128.35076
Reviewer: Lubomira Softova (Bari)
An upper bound on the attractor dimension of a 2D turbulent shear flow with a free boundary condition. (English) Zbl 1101.35347
Mucha, Piotr (ed.) et al., Regularity and other aspects of the Navier-Stokes equations. Based on the conference on regularity and other qualitative aspects of the Navier-Stokes equations, Bȩdlewo, Poland, August 31–September 6, 2003. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 70, 61-72 (2005).
Attractor dimension estimate for plane shear flow of micropolar fluid with free boundary. (English) Zbl 1081.35071
Reviewer: Bruno Scarpellini (Basel)
Negative discrete spectrum of perturbed multivortex Aharonov-Bohm Hamiltonians. (English) Zbl 1059.81049
Ann. Henri Poincaré 5, No. 5, 979-1012 (2004); erratum ibid. 6, No. 2, 397-398 (2005).
Reviewer: Farruh Mukhamedov (Tashkent)
Connection between the Lieb-Thirring conjecture for Schrödinger operators and an isoperimetric problem for ovals on the plane. (English) Zbl 1087.81042
Conca, Carlos (ed.) et al., Partial differential equations and inverse problems. Proceedings of the Pan-American Advanced Studies Institute on partial differential equations, nonlinear analysis and inverse problems, Santiago, Chile, January 6–18, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3448-7/pbk). Contemporary Mathematics 362, 53-61 (2004).
Reviewer: Heinz Siedentop (München)
An upper bound on the attractor dimension of a 2D turbulent shear flow in lubrication theory. (English) Zbl 1133.37340
Uniform Lieb-Thirring inequality for the three-dimensional Pauli operator with a strong non-homogeneous magnetic field. (English) Zbl 1054.81016
Reviewer: Hiroshi Tamura (Kanazawa)
On the number of bound states for Schrödinger operators with operator-valued potentials. (English) Zbl 1030.35129
Reviewer: Bodo Dittmar (Halle)
On moments of negative eigenvalues for the Pauli operator. (English) Zbl 0912.35139
Reviewer: H.Yamagata (Osaka)
On the two-dimensional Navier-Stokes equations with the free boundary condition. (English) Zbl 0912.35127
Reviewer: A.Cichocka (Katowice)
On the Lieb-Thirring constants \(L_{\gamma, 1}\) for \(\gamma \geq 1/2\). (English) Zbl 0858.34075
MSC:
34L40
Quantum dots. (English) Zbl 0929.35126
Knowles, Ian (ed.), Differential equations and mathematical physics. Proceedings of the conference, University of Alabama, Birmingham, AL, USA and Georgia Institute of Technology, Atlanta, GA, USA, March 13–17, 1994. Cambridge, MA: International Press. 157-172 (1995).
Asymptotics of heavy atoms in high magnetic fields. II: Semiclassical regions. (English) Zbl 0807.47058
On Burgers’ original mathematical model of turbulence. (English) Zbl 0753.35076
Reviewer: H.Lange (Köln)
Generalized Lieb-Thirring inequalities and the dimension of attractors associated to the Ginzburg-Landau p.d.e. (English) Zbl 0705.35108
Trends in applications of mathematics to mechanics, Proc. 7th Symp., Wassenaar/Netherl. 1987, 79-85 (1988).
Reviewer: P.Hillion
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