## Weidl, Timo

Compute Distance To:
 Author ID: weidl.timo Published as: Weidl, Timo; Weidl, T. External Links: MGP
 Documents Indexed: 37 Publications since 1992 3 Contributions as Editor Co-Authors: 25 Co-Authors with 28 Joint Publications 701 Co-Co-Authors
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### Co-Authors

 11 single-authored 6 Kovařík, Hynek 6 Laptev, Ari 4 Exner, Pavel 3 Frank, Rupert L. 3 Geisinger, Leander 3 Vugal’ter, Semën Abramovich 2 Förster, Clemens 2 Hänel, André 1 Ashbaugh, Mark S. 1 Barseghyan, Diana 1 Benguria, Rafael D. 1 Birman, Mikhail Shlëmovich 1 Gesztesy, Fritz 1 Holden, Helge 1 Hundertmark, Dirk 1 Laugesen, Richard Snyder 1 Linde, Helmut 1 Loss, Michael 1 Roitberg, Inna Ya. 1 Ruszkowski, Barrosch 1 Ruszkowski, Bartosch 1 Safronov, Oleg 1 Simon, Barry 1 Sobolev, Alexander V. 1 Vassiliev, Dmitri G.
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### Serials

 5 Communications in Mathematical Physics 3 Quarterly Journal of Mechanics and Applied Mathematics 3 St. Petersburg Mathematical Journal 2 Reviews in Mathematical Physics 2 Journal of the London Mathematical Society. Second Series 2 Oberwolfach Reports 2 Journal of Spectral Theory 1 Letters in Mathematical Physics 1 Acta Mathematica 1 Inventiones Mathematicae 1 Mathematische Nachrichten 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Annales Henri Poincaré 1 EMS Series of Congress Reports
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### Fields

 29 Partial differential equations (35-XX) 19 Operator theory (47-XX) 16 Quantum theory (81-XX) 4 Functional analysis (46-XX) 4 Mechanics of deformable solids (74-XX) 3 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX)

### Citations contained in zbMATH Open

32 Publications have been cited 415 times in 263 Documents Cited by Year
Sharp Lieb-Thirring inequalities in high dimensions. Zbl 1142.35531
Laptev, Ari; Weidl, Timo
2000
Hardy inequalities for magnetic Dirichlet forms. Zbl 0977.26005
Laptev, Ari; Weidl, Timo
1999
Recent results on Lieb-Thirring inequalities. Zbl 1135.81337
Laptev, Ari; Weidl, Timo
2000
On the Lieb-Thirring constants $$L_{\gamma, 1}$$ for $$\gamma \geq 1/2$$. Zbl 0858.34075
Weidl, Timo
1996
New bounds on the Lieb-Thirring constants. Zbl 1074.35569
Hundertmark, D.; Laptev, A.; Weidl, T.
2000
Edge resonance in an elastic semi-strip. Zbl 0926.74033
Roitberg, I.; Vassiliev, D.; Weidl, T.
1998
Geometrical versions of improved Berezin-Li-Yau inequalities. Zbl 1257.35138
Geisinger, Leander; Laptev, Ari; Weidl, Timo
2011
Remarks on virtual bound states for semi-bounded operators. Zbl 0926.47009
Weidl, Timo
1999
Eigenvalue bounds for perturbations of Schrödinger operators and Jacobi matrices with regular ground states. Zbl 1158.35021
Frank, Rupert L.; Simon, Barry; Weidl, Timo
2008
Pólya’s conjecture in the presence of a constant magnetic field. Zbl 1179.35205
Frank, Rupert L.; Loss, Michael; Weidl, Timo
2009
Two-dimensional Berezin-Li-Yau inequalities with a correction term. Zbl 1197.35182
Kovařík, Hynek; Vugalter, Semjon; Weidl, Timo
2009
Improved Berezin-Li-Yau inequalities with a remainder term. Zbl 1168.35404
Weidl, Timo
2008
Trapped modes for an elastic strip with perturbation of the material properties. Zbl 1096.74023
Förster, C.; Weidl, T.
2006
A remark on Hardy type inequalities for critical Schrödinger operators with magnetic fields. Zbl 0939.35052
Weidl, Timo
1999
Lieb-Thirring inequalities on trapped modes in quantum wires. Zbl 1039.81021
Exner, Pavel; Weidl, Timo
2001
Bound state asymptotics for elliptic operators with strongly degenerated symbols. Zbl 1045.35049
Laptev, Ari; Safronov, Oleg; Weidl, Timo
2002
Universal bounds for traces of the Dirichlet Laplace operator. Zbl 1230.35077
Geisinger, L.; Weidl, T.
2010
Sharp spectral estimates in domains of infinite volume. Zbl 1219.35156
Geisinger, Leander; Weidl, Timo
2011
Improved Berezin-Li-Yau inequalities with magnetic field. Zbl 1323.35116
Kovařík, Hynek; Weidl, Timo
2015
On Lieb-Thirring inequalities for higher order operators with critical and subcritical powers. Zbl 0865.47033
Netrusov, Y.; Weidl, T.
1996
The discrete spectrum in a gap of the continuous one for compact supported perturbations. Zbl 0824.35090
Birman, M. Sh.; Weidl, T.
1994
Spectral estimates for two-dimensional Schrödinger operators with application to quantum layers. Zbl 1140.81385
Kovařík, Hynek; Vugalter, Semjon; Weidl, Timo
2007
Lieb-Thirring inequalities for geometrically induced bound states. Zbl 1059.81039
Exner, Pavel; Linde, Helmut; Weidl, Timo
2004
Cwikel type estimates in non-power ideals. Zbl 0837.47041
Weidl, Timo
1995
Semiclassical bounds in magnetic bottles. Zbl 1335.81072
Barseghyan, Diana; Exner, Pavel; Kovařík, Hynek; Weidl, Timo
2016
General operator ideals of weak type. Zbl 0810.47045
Weidl, Timo
1992
Trapped modes in an elastic plate with a hole. Zbl 1284.74055
Förster, C.; Weidl, T.
2012
Nonstandard Cwikel type estimates. Zbl 1142.46036
Weidl, Timo
2007
Another look at Cwikel’s inequality. Zbl 0922.35106
Weidl, Timo
1999
On the discrete spectrum of a pseudo-relativistic two-body pair operator. Zbl 1057.35023
Vugalter, Semjon; Weidl, Timo
2003
Low eigenvalues of Laplace and Schrödinger operators. Abstracts from the workshop held February 8th – February 14th, 2009. Zbl 1177.35003
2009
Eigenvalue asymptotics for locally perturbed second order differential operators. Zbl 0922.35109
Weidl, Timo
1999
Semiclassical bounds in magnetic bottles. Zbl 1335.81072
Barseghyan, Diana; Exner, Pavel; Kovařík, Hynek; Weidl, Timo
2016
Improved Berezin-Li-Yau inequalities with magnetic field. Zbl 1323.35116
Kovařík, Hynek; Weidl, Timo
2015
Trapped modes in an elastic plate with a hole. Zbl 1284.74055
Förster, C.; Weidl, T.
2012
Geometrical versions of improved Berezin-Li-Yau inequalities. Zbl 1257.35138
Geisinger, Leander; Laptev, Ari; Weidl, Timo
2011
Sharp spectral estimates in domains of infinite volume. Zbl 1219.35156
Geisinger, Leander; Weidl, Timo
2011
Universal bounds for traces of the Dirichlet Laplace operator. Zbl 1230.35077
Geisinger, L.; Weidl, T.
2010
Pólya’s conjecture in the presence of a constant magnetic field. Zbl 1179.35205
Frank, Rupert L.; Loss, Michael; Weidl, Timo
2009
Two-dimensional Berezin-Li-Yau inequalities with a correction term. Zbl 1197.35182
Kovařík, Hynek; Vugalter, Semjon; Weidl, Timo
2009
Low eigenvalues of Laplace and Schrödinger operators. Abstracts from the workshop held February 8th – February 14th, 2009. Zbl 1177.35003
2009
Eigenvalue bounds for perturbations of Schrödinger operators and Jacobi matrices with regular ground states. Zbl 1158.35021
Frank, Rupert L.; Simon, Barry; Weidl, Timo
2008
Improved Berezin-Li-Yau inequalities with a remainder term. Zbl 1168.35404
Weidl, Timo
2008
Spectral estimates for two-dimensional Schrödinger operators with application to quantum layers. Zbl 1140.81385
Kovařík, Hynek; Vugalter, Semjon; Weidl, Timo
2007
Nonstandard Cwikel type estimates. Zbl 1142.46036
Weidl, Timo
2007
Trapped modes for an elastic strip with perturbation of the material properties. Zbl 1096.74023
Förster, C.; Weidl, T.
2006
Lieb-Thirring inequalities for geometrically induced bound states. Zbl 1059.81039
Exner, Pavel; Linde, Helmut; Weidl, Timo
2004
On the discrete spectrum of a pseudo-relativistic two-body pair operator. Zbl 1057.35023
Vugalter, Semjon; Weidl, Timo
2003
Bound state asymptotics for elliptic operators with strongly degenerated symbols. Zbl 1045.35049
Laptev, Ari; Safronov, Oleg; Weidl, Timo
2002
Lieb-Thirring inequalities on trapped modes in quantum wires. Zbl 1039.81021
Exner, Pavel; Weidl, Timo
2001
Sharp Lieb-Thirring inequalities in high dimensions. Zbl 1142.35531
Laptev, Ari; Weidl, Timo
2000
Recent results on Lieb-Thirring inequalities. Zbl 1135.81337
Laptev, Ari; Weidl, Timo
2000
New bounds on the Lieb-Thirring constants. Zbl 1074.35569
Hundertmark, D.; Laptev, A.; Weidl, T.
2000
Hardy inequalities for magnetic Dirichlet forms. Zbl 0977.26005
Laptev, Ari; Weidl, Timo
1999
Remarks on virtual bound states for semi-bounded operators. Zbl 0926.47009
Weidl, Timo
1999
A remark on Hardy type inequalities for critical Schrödinger operators with magnetic fields. Zbl 0939.35052
Weidl, Timo
1999
Another look at Cwikel’s inequality. Zbl 0922.35106
Weidl, Timo
1999
Eigenvalue asymptotics for locally perturbed second order differential operators. Zbl 0922.35109
Weidl, Timo
1999
Edge resonance in an elastic semi-strip. Zbl 0926.74033
Roitberg, I.; Vassiliev, D.; Weidl, T.
1998
On the Lieb-Thirring constants $$L_{\gamma, 1}$$ for $$\gamma \geq 1/2$$. Zbl 0858.34075
Weidl, Timo
1996
On Lieb-Thirring inequalities for higher order operators with critical and subcritical powers. Zbl 0865.47033
Netrusov, Y.; Weidl, T.
1996
Cwikel type estimates in non-power ideals. Zbl 0837.47041
Weidl, Timo
1995
The discrete spectrum in a gap of the continuous one for compact supported perturbations. Zbl 0824.35090
Birman, M. Sh.; Weidl, T.
1994
General operator ideals of weak type. Zbl 0810.47045
Weidl, Timo
1992
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### Cited by 250 Authors

 25 Laptev, Ari 23 Frank, Rupert L. 14 Kovařík, Hynek 13 Simon, Barry 12 Nazarov, Sergeĭ Aleksandrovich 12 Weidl, Timo 10 Felli, Veronica 10 Ilyin, Alexei A. 9 Abatangelo, Laura 9 Krejčiřík, David 9 Zinchenko, Maxim 7 Christiansen, Jacob Stordal 7 Ekholm, Tomas 7 Fanelli, Luca 7 Loss, Michael 7 Seiringer, Robert 7 Yolcu, Selma Yıldırım 6 Harrell, Evans M. II 6 Hundertmark, Dirk 6 Larson, Simon 6 Yolcu, Turkay 5 Barseghyan, Diana 5 Dolbeault, Jean 5 Exner, Pavel 5 Vugal’ter, Semën Abramovich 4 Gesztesy, Fritz 4 Laugesen, Richard Snyder 4 Léna, Corentin 4 Lewin, Mathieu 4 Naboko, Serguei N. 4 Stubbe, Joachim 4 Zelik, Sergey V. 3 Craster, Richard V. 3 Damanik, David 3 Erdős, László 3 Fournais, Søren 3 Gao, Xiaofen 3 Geisinger, Leander 3 Gontier, David 3 Grillo, Gabriele 3 Hainzl, Christian 3 Hermi, Lotfi 3 Kachmar, Ayman 3 Lieb, Elliott H. 3 Nasibullin, Ramil Gaisa’evich 3 Nys, Manon 3 Pinchover, Yehuda 3 Safronov, Oleg 3 Schimmer, Lukas 3 Siudeja, Bartłomiej Andrzej 3 Terracini, Susanna 3 Tintarev, Kyril 3 Vega, Luis 3 Zhang, Junyong 3 Zheng, Jiqiang 2 Adamou, Alexander T. I. 2 Benguria, Rafael D. 2 Bonheure, Denis 2 Boumenir, Amin A. 2 Camus, Brice 2 Cazacu, Cristian M. 2 Clapp, Mónica 2 Cossetti, Lucrezia 2 Demirel, Semra 2 Enblom, Andreas 2 Esteban, Maria J. 2 Evans, William Desmond 2 Förster, Clemens 2 Gridin, Dmitri 2 Hatzinikitas, Agapitos N. 2 Kaplunov, Julius D. 2 Korotyaev, Evgeny L. 2 Linde, Helmut 2 Lundholm, Douglas 2 Molchanov, Stanislav Alekseevich 2 Morozov, Sergey 2 Nasrallah, Marwa 2 Noris, Benedetta 2 Ouhabaz, El Maati 2 Portmann, Fabian 2 Primo, Ana R. M. 2 Rybkin, Alexei 2 Solovej, Jan Philip 2 Szulkin, Andrzej 2 Usman, Muhammad 2 Vu Kim Tuan 2 Weikard, Rudi 2 Zernov, V. 1 Aermark, L. 1 Ashbaugh, Mark S. 1 Avkhadiev, Farit Gabidinovich 1 Barceló, Juan Antonio 1 Bennewitz, Christer 1 Bley, Gonzalo A. 1 Blinova, Irina V. 1 Bögli, Sabine 1 Boitsev, A. A. 1 Bouchitté, Guy 1 Boulton, Lyonell S. 1 Bourass, M. ...and 150 more Authors
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### Cited in 87 Serials

 19 Communications in Mathematical Physics 19 Journal of Functional Analysis 18 Journal of Mathematical Physics 10 Journal of Spectral Theory 9 Letters in Mathematical Physics 8 Journal of Differential Equations 8 Proceedings of the American Mathematical Society 8 Bulletin of Mathematical Sciences 7 Journal of Mathematical Analysis and Applications 7 Advances in Mathematics 7 Journal of Mathematical Sciences (New York) 7 Journal of the European Mathematical Society (JEMS) 6 Communications in Partial Differential Equations 6 St. Petersburg Mathematical Journal 5 Reviews in Mathematical Physics 5 Calculus of Variations and Partial Differential Equations 4 Annales de l’Institut Fourier 4 Communications in Contemporary Mathematics 4 Annales Henri Poincaré 3 Wave Motion 3 Duke Mathematical Journal 3 Integral Equations and Operator Theory 3 Constructive Approximation 3 SIAM Journal on Mathematical Analysis 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Mathematical Physics, Analysis and Geometry 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Archive for Rational Mechanics and Analysis 2 Journal of Applied Mathematics and Mechanics 2 Reports on Mathematical Physics 2 Functional Analysis and its Applications 2 Journal of Computational and Applied Mathematics 2 Siberian Mathematical Journal 2 Transactions of the American Mathematical Society 2 The Journal of Geometric Analysis 2 Sbornik: Mathematics 2 Mathematics and Mechanics of Solids 2 Complex Variables and Elliptic Equations 2 Journal of Fixed Point Theory and Applications 1 Applicable Analysis 1 Journal d’Analyse Mathématique 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Arkiv för Matematik 1 Acta Mathematica 1 Archiv der Mathematik 1 Illinois Journal of Mathematics 1 Journal of Approximation Theory 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Transactions of the Moscow Mathematical Society 1 Acta Applicandae Mathematicae 1 Annals of Global Analysis and Geometry 1 Applied Mathematics Letters 1 MCSS. Mathematics of Control, Signals, and Systems 1 Applied Mathematical Modelling 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 Potential Analysis 1 Russian Journal of Mathematical Physics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Bulletin des Sciences Mathématiques 1 Izvestiya: Mathematics 1 Discrete and Continuous Dynamical Systems 1 Doklady Mathematics 1 Journal of Inequalities and Applications 1 Journal of Applied Mechanics and Technical Physics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Revista Matemática Complutense 1 Lobachevskii Journal of Mathematics 1 Advanced Nonlinear Studies 1 Communications on Pure and Applied Analysis 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Oberwolfach Reports 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Physics A: Mathematical and Theoretical 1 Operators and Matrices 1 Analysis and Mathematical Physics 1 Annales Mathématiques du Québec
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### Cited in 38 Fields

 190 Partial differential equations (35-XX) 90 Quantum theory (81-XX) 79 Operator theory (47-XX) 20 Mechanics of deformable solids (74-XX) 19 Ordinary differential equations (34-XX) 19 Functional analysis (46-XX) 17 Real functions (26-XX) 16 Global analysis, analysis on manifolds (58-XX) 11 Optics, electromagnetic theory (78-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Probability theory and stochastic processes (60-XX) 4 Fluid mechanics (76-XX) 3 History and biography (01-XX) 3 Combinatorics (05-XX) 3 Potential theory (31-XX) 3 Difference and functional equations (39-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)