Edit Profile (opens in new tab) Weidl, Timo Compute Distance To: Compute 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 all top 5 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. all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1142.35531Laptev, Ari; Weidl, Timo 72 2000 Hardy inequalities for magnetic Dirichlet forms. Zbl 0977.26005Laptev, Ari; Weidl, Timo 61 1999 Recent results on Lieb-Thirring inequalities. Zbl 1135.81337Laptev, Ari; Weidl, Timo 44 2000 On the Lieb-Thirring constants \(L_{\gamma, 1}\) for \(\gamma \geq 1/2\). Zbl 0858.34075Weidl, Timo 31 1996 New bounds on the Lieb-Thirring constants. Zbl 1074.35569Hundertmark, D.; Laptev, A.; Weidl, T. 25 2000 Edge resonance in an elastic semi-strip. Zbl 0926.74033Roitberg, I.; Vassiliev, D.; Weidl, T. 21 1998 Geometrical versions of improved Berezin-Li-Yau inequalities. Zbl 1257.35138Geisinger, Leander; Laptev, Ari; Weidl, Timo 16 2011 Remarks on virtual bound states for semi-bounded operators. Zbl 0926.47009Weidl, Timo 16 1999 Eigenvalue bounds for perturbations of Schrödinger operators and Jacobi matrices with regular ground states. Zbl 1158.35021Frank, Rupert L.; Simon, Barry; Weidl, Timo 14 2008 Pólya’s conjecture in the presence of a constant magnetic field. Zbl 1179.35205Frank, Rupert L.; Loss, Michael; Weidl, Timo 13 2009 Two-dimensional Berezin-Li-Yau inequalities with a correction term. Zbl 1197.35182Kovařík, Hynek; Vugalter, Semjon; Weidl, Timo 12 2009 Improved Berezin-Li-Yau inequalities with a remainder term. Zbl 1168.35404Weidl, Timo 12 2008 Trapped modes for an elastic strip with perturbation of the material properties. Zbl 1096.74023Förster, C.; Weidl, T. 10 2006 A remark on Hardy type inequalities for critical Schrödinger operators with magnetic fields. Zbl 0939.35052Weidl, Timo 9 1999 Lieb-Thirring inequalities on trapped modes in quantum wires. Zbl 1039.81021Exner, Pavel; Weidl, Timo 7 2001 Bound state asymptotics for elliptic operators with strongly degenerated symbols. Zbl 1045.35049Laptev, Ari; Safronov, Oleg; Weidl, Timo 7 2002 Universal bounds for traces of the Dirichlet Laplace operator. Zbl 1230.35077Geisinger, L.; Weidl, T. 6 2010 Sharp spectral estimates in domains of infinite volume. Zbl 1219.35156Geisinger, Leander; Weidl, Timo 5 2011 Improved Berezin-Li-Yau inequalities with magnetic field. Zbl 1323.35116Kovařík, Hynek; Weidl, Timo 5 2015 On Lieb-Thirring inequalities for higher order operators with critical and subcritical powers. Zbl 0865.47033Netrusov, Y.; Weidl, T. 4 1996 The discrete spectrum in a gap of the continuous one for compact supported perturbations. Zbl 0824.35090Birman, M. Sh.; Weidl, T. 4 1994 Spectral estimates for two-dimensional Schrödinger operators with application to quantum layers. Zbl 1140.81385Kovařík, Hynek; Vugalter, Semjon; Weidl, Timo 4 2007 Lieb-Thirring inequalities for geometrically induced bound states. Zbl 1059.81039Exner, Pavel; Linde, Helmut; Weidl, Timo 3 2004 Cwikel type estimates in non-power ideals. Zbl 0837.47041Weidl, Timo 3 1995 Semiclassical bounds in magnetic bottles. Zbl 1335.81072Barseghyan, Diana; Exner, Pavel; Kovařík, Hynek; Weidl, Timo 2 2016 General operator ideals of weak type. Zbl 0810.47045Weidl, Timo 2 1992 Trapped modes in an elastic plate with a hole. Zbl 1284.74055Förster, C.; Weidl, T. 2 2012 Nonstandard Cwikel type estimates. Zbl 1142.46036Weidl, Timo 1 2007 Another look at Cwikel’s inequality. Zbl 0922.35106Weidl, Timo 1 1999 On the discrete spectrum of a pseudo-relativistic two-body pair operator. Zbl 1057.35023Vugalter, Semjon; Weidl, Timo 1 2003 Low eigenvalues of Laplace and Schrödinger operators. Abstracts from the workshop held February 8th – February 14th, 2009. Zbl 1177.35003 1 2009 Eigenvalue asymptotics for locally perturbed second order differential operators. Zbl 0922.35109Weidl, Timo 1 1999 Semiclassical bounds in magnetic bottles. Zbl 1335.81072Barseghyan, Diana; Exner, Pavel; Kovařík, Hynek; Weidl, Timo 2 2016 Improved Berezin-Li-Yau inequalities with magnetic field. Zbl 1323.35116Kovařík, Hynek; Weidl, Timo 5 2015 Trapped modes in an elastic plate with a hole. Zbl 1284.74055Förster, C.; Weidl, T. 2 2012 Geometrical versions of improved Berezin-Li-Yau inequalities. Zbl 1257.35138Geisinger, Leander; Laptev, Ari; Weidl, Timo 16 2011 Sharp spectral estimates in domains of infinite volume. Zbl 1219.35156Geisinger, Leander; Weidl, Timo 5 2011 Universal bounds for traces of the Dirichlet Laplace operator. Zbl 1230.35077Geisinger, L.; Weidl, T. 6 2010 Pólya’s conjecture in the presence of a constant magnetic field. Zbl 1179.35205Frank, Rupert L.; Loss, Michael; Weidl, Timo 13 2009 Two-dimensional Berezin-Li-Yau inequalities with a correction term. Zbl 1197.35182Kovařík, Hynek; Vugalter, Semjon; Weidl, Timo 12 2009 Low eigenvalues of Laplace and Schrödinger operators. Abstracts from the workshop held February 8th – February 14th, 2009. Zbl 1177.35003 1 2009 Eigenvalue bounds for perturbations of Schrödinger operators and Jacobi matrices with regular ground states. Zbl 1158.35021Frank, Rupert L.; Simon, Barry; Weidl, Timo 14 2008 Improved Berezin-Li-Yau inequalities with a remainder term. Zbl 1168.35404Weidl, Timo 12 2008 Spectral estimates for two-dimensional Schrödinger operators with application to quantum layers. Zbl 1140.81385Kovařík, Hynek; Vugalter, Semjon; Weidl, Timo 4 2007 Nonstandard Cwikel type estimates. Zbl 1142.46036Weidl, Timo 1 2007 Trapped modes for an elastic strip with perturbation of the material properties. Zbl 1096.74023Förster, C.; Weidl, T. 10 2006 Lieb-Thirring inequalities for geometrically induced bound states. Zbl 1059.81039Exner, Pavel; Linde, Helmut; Weidl, Timo 3 2004 On the discrete spectrum of a pseudo-relativistic two-body pair operator. Zbl 1057.35023Vugalter, Semjon; Weidl, Timo 1 2003 Bound state asymptotics for elliptic operators with strongly degenerated symbols. Zbl 1045.35049Laptev, Ari; Safronov, Oleg; Weidl, Timo 7 2002 Lieb-Thirring inequalities on trapped modes in quantum wires. Zbl 1039.81021Exner, Pavel; Weidl, Timo 7 2001 Sharp Lieb-Thirring inequalities in high dimensions. Zbl 1142.35531Laptev, Ari; Weidl, Timo 72 2000 Recent results on Lieb-Thirring inequalities. Zbl 1135.81337Laptev, Ari; Weidl, Timo 44 2000 New bounds on the Lieb-Thirring constants. Zbl 1074.35569Hundertmark, D.; Laptev, A.; Weidl, T. 25 2000 Hardy inequalities for magnetic Dirichlet forms. Zbl 0977.26005Laptev, Ari; Weidl, Timo 61 1999 Remarks on virtual bound states for semi-bounded operators. Zbl 0926.47009Weidl, Timo 16 1999 A remark on Hardy type inequalities for critical Schrödinger operators with magnetic fields. Zbl 0939.35052Weidl, Timo 9 1999 Another look at Cwikel’s inequality. Zbl 0922.35106Weidl, Timo 1 1999 Eigenvalue asymptotics for locally perturbed second order differential operators. Zbl 0922.35109Weidl, Timo 1 1999 Edge resonance in an elastic semi-strip. Zbl 0926.74033Roitberg, I.; Vassiliev, D.; Weidl, T. 21 1998 On the Lieb-Thirring constants \(L_{\gamma, 1}\) for \(\gamma \geq 1/2\). Zbl 0858.34075Weidl, Timo 31 1996 On Lieb-Thirring inequalities for higher order operators with critical and subcritical powers. Zbl 0865.47033Netrusov, Y.; Weidl, T. 4 1996 Cwikel type estimates in non-power ideals. Zbl 0837.47041Weidl, Timo 3 1995 The discrete spectrum in a gap of the continuous one for compact supported perturbations. Zbl 0824.35090Birman, M. Sh.; Weidl, T. 4 1994 General operator ideals of weak type. Zbl 0810.47045Weidl, Timo 2 1992 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year