Dieses Bild zeigt Timo Weidl

Timo Weidl

Prof. Dr.

Professor - Lehrstuhl für Analysis und Mathematische Physik
Institut für Analysis, Dynamik und Modellierung
Lehrstuhl für Analysis und Mathematische Physik
[Foto: Robin Lang, 2018]

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+49 711 685 65534
+4971168565594

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Pfaffenwaldring 57
70569 Stuttgart
Deutschland
Raum: 8.347

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Fachgebiet

Der Schwerpunkt meiner Forschung liegt in der Spektralanalyse von Differential- und Integraloperatoren mit Anwendungen in der Quantenmechanik.

  1. Frank, Rupert L.; Laptev, Ari; Weidl, Timo (2022): An improved one-dimensional Hardy inequality, https://arxiv.org/abs/2204.00877.
  2. Frank, Rupert; Laptev, Ari; Weidl, Timo (2022): Schrödinger Operators: Eigenvalues and Lieb–Thirring Inequalities, Cambridge University Press.
  3. Benguria, Rafael D.; Cianchi, Andrea; Maz’ya, Vladimir G.; u. a.; Pavel Exner, Rupert L. Frank, Fritz Gesztesy, u. a. (Hrsg.) (2021): Partial differential equations, spectral theory, and mathematical physics—the Ari Laptev anniversary volume., EMS Series of Congress Reports, EMS Press, Berlin (EMS Series of Congress Reports), doi: 10.4171/ECR/18.
  4. Kovar\’ık, Hynek; Ruszkowski, Bartosch; Weidl, Timo (2018): Melas-type bounds for the Heisenberg Laplacian on bounded domains, in: Journal of Spectral Theory, European Mathematical Society Publishing House (Journal of Spectral Theory), Jg. 8, Nr. 2, S. 413--434, doi: 10.4171/jst/200.
  5. Kovarik, Hynek; Ruszkowski, Bartosch; Weidl, Timo (2017): Spectral estimates for the Heisenberg Laplacian on cylinders., in: Functional Analysis and Operator Theory for Quantum Physics, EMS Series of Congress Reports, J. Dittrich, et al. (eds.), (Functional Analysis and Operator Theory for Quantum Physics, EMS Series of Congress Reports, J. Dittrich, et al. (eds.)), S. 433–446.
  6. Hänel, André; Weidl, Timo (2017): Spectral asymptotics for the Dirichlet Laplacian with a Neumann window via a Birman-Schwinger analysis of the Dirichlet-to-Neumann operator., in: Functional Analysis and Operator Theory for Quantum Physics, EMS Series of Congress Reports, J. Dittrich, et al. (eds.), (Functional Analysis and Operator Theory for Quantum Physics, EMS Series of Congress Reports, J. Dittrich, et al. (eds.)), S. 315–352.
  7. Barseghyan, Diana; Exner, Pavel; Kovarik, Hynek; u. a. (2016): Semiclassical bounds in magnetic bottles, in: Reviews in Mathematical Physics, World Scientific (Reviews in Mathematical Physics), Jg. 28, Nr. 1, S. 1650002, doi: 10.1142/S0129055X16500021.
  8. Hänel, André; Weidl, Timo (2016): Eigenvalue asymptotics for an elastic strip and an elastic plate with a crack., in: Quarterly journal of mechanics and applied mathematics, Oxford Univ. Press (Quarterly journal of mechanics and applied mathematics), Jg. 69, Nr. 4, S. 319–352, doi: 10.1093/qjmam/hbw009.
  9. Kovarik, Hynek; Weidl, Timo (2015): Improved Berezin-Li-Yau inequalities with magnetic field., Proceedings of the Royal Society Of Edinburgh. Section A, Mathematics, Cambridge Univ. Press (Proceedings of the Royal Society Of Edinburgh. Section A, Mathematics), doi: 10.1017/S0308210513001595.
  10. Förster, Clemens; Weidl, Timo (2012): Trapped modes in an elastic plate with a hole., in: St. Petersburg Mathematical Journal, (St. Petersburg Mathematical Journal), Jg. 23, Nr. 1, S. 179–202.
  11. Geisinger, Leander; Laptev, Ari; Weidl, Timo (2011): Geometrical versions of improved Berezin-Li-Yau inequalities., in: Journal of Spectral Theory 1., (Journal of Spectral Theory 1.), Nr. 1, S. 87–109.
  12. Weidl, Timo; World Scientific Publishing (Hrsg.) (2011): Semiclassical Spectral Bounds and Beyond., in: Mathematical results in quantum physics, (Mathematical results in quantum physics), S. 110–129, doi: 10.1142/9789814350365_0009.
  13. Geisinger, Leander; Weidl, Timo (2011): Sharp spectral estimates in domains of infinite volume., in: Reviews in Mathematical Physics., (Reviews in Mathematical Physics.), Jg. 23, Nr. 6, S. 615–641, doi: 10.1142/S0129055X11004394.
  14. Förster, Clemens; Weidl, Timo (2011): Trapped modes in an elastic plate with a hole., in: Rossiĭskaya Akademiya Nauk. Algebra i Analiz, (Rossiĭskaya Akademiya Nauk. Algebra i Analiz), Jg. 23, Nr. 1, S. 255–288.
  15. Geisinger, Leander; Weidl, Timo (2010): Universal bounds for traces of the Dirichlet Laplace operator., in: Journal of the London Mathematical Society. Second Series, (Journal of the London Mathematical Society. Second Series), Jg. 82, Nr. 2, S. 395–419, doi: https://doi.org/10.1112/jlms/jdq033.
  16. Frank, Rupert L.; Loss, Michael; Weidl, Timo (2009): Pólya’s conjecture in the presence of a constant magnetic              field, in: J. Eur. Math. Soc. (JEMS), (J. Eur. Math. Soc. (JEMS)), Jg. 11, Nr. 6, S. 1365--1383, doi: 10.4171/JEMS/184.
  17. Kovar\’ık, Hynek; Vugalter, Semjon; Weidl, Timo (2009): Two-dimensional Berezin-Li-Yau inequalities with a              correction term, in: Comm. Math. Phys., (Comm. Math. Phys.), Jg. 287, Nr. 3, S. 959--981, doi: 10.1007/s00220-008-0692-1.
  18. Weidl, Timo (2008): Improved Berezin-Li-Yau inequalities with a remainder              term, in: Spectral theory of differential operators, Amer. Math. Soc., Providence, RI (Spectral theory of differential operators), S. 253--263, doi: 10.1090/trans2/225/17.
  19. Frank, Rupert L.; Simon, Barry; Weidl, Timo (2008): Eigenvalue bounds for perturbations of Schrödinger operators              and Jacobi matrices with regular ground states, in: Comm. Math. Phys., (Comm. Math. Phys.), Jg. 282, Nr. 1, S. 199--208, doi: 10.1007/s00220-008-0453-1.
  20. Weidl, Timo (2007): Nonstandard Cwikel type estimates, in: Interpolation theory and applications, Amer. Math. Soc., Providence, RI (Interpolation theory and applications), S. 337--357, doi: 10.1090/conm/445/08611.
  21. Kovar\’ık, Hynek; Vugalter, Semjon; Weidl, Timo (2007): Spectral estimates for two-dimensional Schrödinger operators              with application to quantum layers, in: Comm. Math. Phys., (Comm. Math. Phys.), Jg. 275, Nr. 3, S. 827--838, doi: 10.1007/s00220-007-0318-z.
  22. Förster, C.; Weidl, T. (2006): Trapped modes for an elastic strip with perturbation of the              material properties, in: Quart. J. Mech. Appl. Math., (Quart. J. Mech. Appl. Math.), Jg. 59, Nr. 3, S. 399--418, doi: 10.1093/qjmam/hbl008.
  23. Exner, Pavel; Linde, Helmut; Weidl, Timo (2004): Lieb-Thirring inequalities for geometrically induced bound              states, in: Lett. Math. Phys., (Lett. Math. Phys.), Jg. 70, Nr. 1, S. 83--95, doi: 10.1007/s11005-004-1741-0.
  24. Vugalter, Semjon; Weidl, Timo (2003): On the discrete spectrum of a pseudo-relativistic two-body              pair operator, in: Ann. Henri Poincaré, (Ann. Henri Poincaré), Jg. 4, Nr. 2, S. 301--341, doi: 10.1007/s00023-003-0131-y.
  25. Laptev, Ari; Safronov, Oleg; Weidl, Timo (2002): Bound state asymptotics for elliptic operators with strongly              degenerated symbols, in: Nonlinear problems in mathematical physics and related topics,              I, Kluwer/Plenum, New York (Nonlinear problems in mathematical physics and related topics,              I), S. 233--246, doi: 10.1007/978-1-4615-0777-2\_14.
  26. Exner, Pavel; Weidl, Timo (2001): Lieb-Thirring inequalities on trapped modes in quantum              wires, in: XIIIth International Congress on Mathematical              Physics (London, 2000), Int. Press, Boston, MA (XIIIth International Congress on Mathematical              Physics (London, 2000)), S. 437--443.
  27. Laptev, Ari; Weidl, Timo (2000): Recent results on Lieb-Thirring inequalities, in: Journées ``Équations aux Dérivées Partielles’’ (La              Chapelle sur Erdre, 2000), Univ. Nantes, Nantes (Journées ``Équations aux Dérivées Partielles’’ (La              Chapelle sur Erdre, 2000)), S. Exp. No. XX, 14.
  28. Hundertmark, D.; Laptev, A.; Weidl, T. (2000): New bounds on the Lieb-Thirring constants, in: Invent. Math., (Invent. Math.), Jg. 140, Nr. 3, S. 693--704, doi: 10.1007/s002220000077.
  29. Laptev, Ari; Weidl, Timo (2000): Sharp Lieb-Thirring inequalities in high dimensions, in: Acta Math., (Acta Math.), Jg. 184, Nr. 1, S. 87--111, doi: 10.1007/BF02392782.
  30. Weidl, Timo (1999): A remark on Hardy type inequalities for critical              Schrödinger operators with magnetic fields, in: The Mazya anniversary collection, Vol. 2 (Rostock,              1998), Birkhäuser, Basel (The Mazya anniversary collection, Vol. 2 (Rostock,              1998)), S. 345--352.
  31. Weidl, Timo (1999): Another look at Cwikel’s inequality, in: Differential operators and spectral theory, Amer. Math. Soc., Providence, RI (Differential operators and spectral theory), S. 247--254, doi: 10.1090/trans2/189/19.
  32. Laptev, Ari; Weidl, Timo (1999): Hardy inequalities for magnetic Dirichlet forms, in: Mathematical results in quantum mechanics (Prague, 1998), Birkhäuser, Basel (Mathematical results in quantum mechanics (Prague, 1998)), S. 299--305.
  33. Weidl, Timo (1999): Eigenvalue asymptotics for locally perturbed second-order              differential operators, in: J. London Math. Soc. (2), (J. London Math. Soc. (2)), Jg. 59, Nr. 1, S. 227--251, doi: 10.1112/S0024610799007024.
  34. Weidl, Timo (1999): Remarks on virtual bound states for semi-bounded operators, in: Comm. Partial Differential Equations, (Comm. Partial Differential Equations), Jg. 24, Nr. 1–2, S. 25--60, doi: 10.1080/03605309908821417.
  35. Roitberg, I.; Vassiliev, D.; Weidl, T. (1998): Edge resonance in an elastic semi-strip, in: Quart. J. Mech. Appl. Math., (Quart. J. Mech. Appl. Math.), Jg. 51, Nr. 1, S. 1--13, doi: 10.1093/qjmam/51.1.1.
  36. Netrusov, Y.; Weidl, T. (1996): On Lieb-Thirring inequalities for higher order operators              with critical and subcritical powers, in: Comm. Math. Phys., (Comm. Math. Phys.), Jg. 182, Nr. 2, S. 355--370.
  37. Weidl, Timo (1996): On the Lieb-Thirring constants $L_\gamma,1$ for              $\gamma1/2$, in: Comm. Math. Phys., (Comm. Math. Phys.), Jg. 178, Nr. 1, S. 135--146.
  38. Weidl, Timo (1995): On the discrete spectrum of partial differential and integral              operators, ProQuest LLC, Ann Arbor, MI.
  39. Weidl, Timo (1995): Cwikel type estimates in non-power ideals, in: Math. Nachr., (Math. Nachr.), Jg. 176, S. 315--334, doi: 10.1002/mana.19951760123.
  40. Birman, M. Sh.; Weidl, T. (1994): The discrete spectrum in a gap of the continuous one for              compact supported perturbations, in: Mathematical results in quantum mechanics (Blossin, 1993), Birkhäuser, Basel (Mathematical results in quantum mechanics (Blossin, 1993)), S. 9--12, doi: 10.1007/978-3-0348-8545-4\_2.
  41. Weidl, Timo (1994): Estimates for operators of the form b(x)a(D)  in non-powerlike ideals., in: St.-Petersburg Mathematical Journal, (St.-Petersburg Mathematical Journal), Jg. 5, Nr. 5, S. 907–923.
  42. Vaıdl\cprime, T. (1993): Estimates for operators of type $b(x)a(D)$ in nonpower              ideals, in: Algebra i Analiz, (Algebra i Analiz), Jg. 5, Nr. 5, S. 47--67.
  43. Vaıdl\cprime, Timo (1992): General operator ideals of weak type, in: Algebra i Analiz, (Algebra i Analiz), Jg. 4, Nr. 3, S. 117--144.

Kontakt:

Dieses Bild zeigt Timo Weidl

Timo Weidl

Prof. Dr.

Professor - Lehrstuhl für Analysis und Mathematische Physik

[Foto: Robin Lang, 2018]

Dieses Bild zeigt Elke Peter

Elke Peter

 

Sekretariat am Lehrstuhl für Analysis und Mathematische Physik

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