This image shows Jens Wirth

Jens Wirth

Prof. Dr.

Dean of Studies Teacher Education Mathematics
Institute of Analysis, Dynamics and Modeling
Chair for Analysis and Mathematical Physics
[Photo: Robin Lang, 2018]

Contact

+49 711 685 65517
 +49 711 685 65594

Pfaffenwaldring 57
70569 Stuttgart
Germany
Room: 8.349

Office Hours

by appointment

Subject

  • analysis of partial differential equations
  • pseudo-differential operators
  • (abstract) harmonic analysis and applications in operator theory

 

  1. Cerejeiras, P.; Ferreira, M.; Kähler, U.; u. a. (2023): Global Operator Calculus on Spin Groups, in: Journal of Fourier Analysis and Applications, (Journal of Fourier Analysis and Applications), Jg. 29, Nr. 3, S. 32, doi: 10.1007/s00041-023-10015-5.
  2. Wirth, Jens; Sebih, Mohammed Elamine (2022): On a wave equation with singular dissipation, in: Mathematische Nachrichten, (Mathematische Nachrichten), Jg. 295, Nr. 8, S. 1591–1616, doi: 10.1002/mana.202000076.
  3. Girardi, Giovanni; Wirth, Jens (2021): Decay Estimates for a Klein-Gordon Model with Time-Periodic Coeffizients, in: Massimo Cicognani, Daniele del Santo, Alberto Parmeggiani, u. a. (Hrsg.), Anomalies in Partial Differential Equations, Springer (Anomalies in Partial Differential Equations), doi: 10.1007/978-3-030-61346-4_14.
  4. Georgiev, Vladimir; Ozawa, Tohru; Ruzhansky, Michael; u. a. (Hrsg.) (2020): Advances in Harmonic Analysis and Partial Differential Equations, Trends in Mathematics, Birkhäuser (Trends in Mathematics), doi: 10.1007/978-3-030-58215-9.
  5. Brinker, Jonas; Wirth, Jens (2020): Gelfand Triples for the Kohn–Nirenberg Quantization on Homogeneous Lie Groups, in: Advances in Harmonic Analysis and Partial Differential Equations., Birkhäuser (Advances in Harmonic Analysis and Partial Differential Equations.), S. 51–97, doi: 10.1007/978-3-030-58215-9_3.
  6. Georgiev, Vladimir; Wirth, Jens (2018): Zero resonances for localised potentials, in: Journal of Mathematical Physics, (Journal of Mathematical Physics), Jg. 59, Nr. 7, S. 071502, doi: 10.1063/1.5027717.
  7. Wirth, Jens (2017): On t-dependent hyperbolic systems. Part 2, in: J. Math. Anal. Appl., (J. Math. Anal. Appl.), Jg. 448, Nr. 1, S. 293--318, doi: 10.1016/j.jmaa.2016.11.026.
  8. Wirth, Jens (2017): Regular singular problems for hyperbolic systems and their              asymptotic integration, in: New trends in analysis and interdisciplinary applications, Birkhäuser/Springer, Cham (New trends in analysis and interdisciplinary applications), S. 553--561, doi: 10.1007/978-3-319-48812-7_70.
  9. Ruzhansky, Michael; Wirth, Jens (2015): L-p Fourier multipliers on compact Lie groups, in: Math. Z., (Math. Z.), Jg. 280, Nr. 3–4, S. 621--642, doi: 10.1007/s00209-015-1440-9.
  10. Wirth, Jens (2015): Diffusion phenomena for partially dissipative hyperbolic              systems, in: Nonlinear dynamics in partial differential equations, Math. Soc. Japan, Tokyo (Nonlinear dynamics in partial differential equations), S. 303--310.
  11. do Nascimento, Wanderley Nunes; Wirth, Jens (2015): Wave equations with mass and dissipation, in: Adv. Differential Equations, (Adv. Differential Equations), Jg. 20, Nr. 7–8, S. 661--696.
  12. Wirth, Jens (2014): Diffusion phenomena for partially dissipative hyperbolic              systems, in: J. Math. Anal. Appl., (J. Math. Anal. Appl.), Jg. 414, Nr. 2, S. 666--677, doi: 10.1016/j.jmaa.2014.01.034.
  13. Ruzhansky, Michael; Turunen, Ville; Wirth, Jens (2014): Hörmander class of pseudo-differential operators on compact Lie groups and global hypoellipticity, in: J. Fourier Anal. Appl., (J. Fourier Anal. Appl.), Jg. 20, Nr. 3, S. 476--499, doi: 10.1007/s00041-014-9322-9.
  14. Cruz-Uribe, David; Fiorenza, Alberto; Ruzhansky, Michael; u. a. (2014): Variable Lebesgue spaces and hyperbolic systems, Advanced Courses in Mathematics. CRM Barcelona, Birkhäuser/Springer, Basel (Advanced Courses in Mathematics. CRM Barcelona).
  15. Ruzhansky, Michael; Wirth, Jens (2014): Asymptotic behaviour of solutions to hyperbolic equations and              systems, in: Variable Lebesgue spaces and hyperbolic systems, Birkhäuser/Springer, Basel (Variable Lebesgue spaces and hyperbolic systems), S. 91--169.
  16. Ruzhansky, Michael; Wirth, Jens (2014): Global functional calculus for operators on compact Lie              groups, in: J. Funct. Anal., (J. Funct. Anal.), Jg. 267, Nr. 1, S. 144--172, doi: 10.1016/j.jfa.2014.04.009.
  17. Ruzhanski\uı, M. V.; Virt, I. (2013): On multipliers on compact Lie groups, in: Funktsional. Anal. i Prilozhen., (Funktsional. Anal. i Prilozhen.), Jg. 47, Nr. 1, S. 87--91, doi: 10.1007/s10688-013-0010-3.
  18. Wirth, Jens (2013): Thermo-elasticity for anisotropic media in higher dimensions, in: Progress in partial differential equations, Springer, Cham (Progress in partial differential equations), S. 367--407, doi: 10.1007/978-3-319-00125-8_17.
  19. Hänel, A.; Schulz, C.; Wirth, J. (2012): Embedded eigenvalues for an elastic strip with cracks, in: Quart. J. Mech. Appl. Math., (Quart. J. Mech. Appl. Math.), Jg. 65, Nr. 4, S. 535--554, doi: 10.1093/qjmam/hbs015.
  20. Ebert, Svend; Wirth, Jens (2011): Diffusive wavelets on groups and homogeneous spaces, in: Proc. Roy. Soc. Edinburgh Sect. A, (Proc. Roy. Soc. Edinburgh Sect. A), Jg. 141, Nr. 3, S. 497--520, doi: 10.1017/S030821051000051X.
  21. Ruzhansky, Michael; Wirth, Jens (2011): Dispersive estimates for hyperbolic systems with              time-dependent coefficients, in: J. Differential Equations, (J. Differential Equations), Jg. 251, Nr. 4–5, S. 941--969, doi: 10.1016/j.jde.2011.04.022.
  22. Wirth, Jens (2010): Energy inequalities and dispersive estimates for wave              equations with time-dependent coefficients, in: Rend. Istit. Mat. Univ. Trieste, (Rend. Istit. Mat. Univ. Trieste), Jg. 42, Nr. suppl., S. 205--219.
  23. Jachmann, Kay; Wirth, Jens (2010): Diagonalisation schemes and applications, in: Ann. Mat. Pura Appl. (4), (Ann. Mat. Pura Appl. (4)), Jg. 189, Nr. 4, S. 571--590, doi: 10.1007/s10231-009-0125-6.
  24. Ruzhansky, M.; Wirth, J. (2010): Corrigendum to ``Dispersive estimates for T-dependent              hyperbolic systems’’ MR2537624, in: Rend. Semin. Mat. Univ. Politec. Torino, (Rend. Semin. Mat. Univ. Politec. Torino), Jg. 68, Nr. 1, S. 93.
  25. Wirth, Jens (2009): Block-diagonalisation of matrices and operators, in: Linear Algebra Appl., (Linear Algebra Appl.), Jg. 431, Nr. 5–7, S. 895--902, doi: 10.1016/j.laa.2009.03.044.
  26. Wirth, J. (2009): Dispersive estimates in anisotropic thermoelasticity, in: Further progress in analysis, World Sci. Publ., Hackensack, NJ (Further progress in analysis), S. 495--504, doi: 10.1142/9789812837332_0044.
  27. Hirosawa, Fumihiko; Wirth, Jens (2009): Generalised energy conservation law for wave equations with              variable propagation speed, in: J. Math. Anal. Appl., (J. Math. Anal. Appl.), Jg. 358, Nr. 1, S. 56--74, doi: 10.1016/j.jmaa.2009.04.048.
  28. Reissig, Michael; Wirth, Jens (2008): Anisotropic thermo-elasticity in 2D. I. A unified              treatment, in: Asymptot. Anal., (Asymptot. Anal.), Jg. 57, Nr. 1–2, S. 1--27.
  29. Wirth, Jens (2008): Anisotropic thermo-elasticity in 2D. II. Applications, in: Asymptot. Anal., (Asymptot. Anal.), Jg. 57, Nr. 1–2, S. 29--40.
  30. Hirosawa, Fumihiko; Wirth, Jens (2008): Cm-theory of damped wave equations with stabilisation, in: J. Math. Anal. Appl., (J. Math. Anal. Appl.), Jg. 343, Nr. 2, S. 1022--1035, doi: 10.1016/j.jmaa.2008.02.024.
  31. Wirth, Jens (2008): On the influence of time-periodic dissipation on energy and              dispersive estimates, in: Hiroshima Math. J., (Hiroshima Math. J.), Jg. 38, Nr. 3, S. 397--410.
  32. Ruzhansky, M.; Wirth, J. (2008): Dispersive estimates for T-dependent hyperbolic systems, in: Rend. Semin. Mat. Univ. Politec. Torino, (Rend. Semin. Mat. Univ. Politec. Torino), Jg. 66, Nr. 4, S. 339--349.
  33. Wirth, Jens (2007): Wave equations with time-dependent dissipation. II.              Effective dissipation, in: J. Differential Equations, (J. Differential Equations), Jg. 232, Nr. 1, S. 74--103, doi: 10.1016/j.jde.2006.06.004.
  34. Wirth, Jens (2007): Scattering and modified scattering for abstract wave equations              with time-dependent dissipation, in: Adv. Differential Equations, (Adv. Differential Equations), Jg. 12, Nr. 10, S. 1115--1133.
  35. Wirth, Jens (2006): Wave equations with time-dependent dissipation. I.              Non-effective dissipation, in: J. Differential Equations, (J. Differential Equations), Jg. 222, Nr. 2, S. 487--514, doi: 10.1016/j.jde.2005.07.019.
  36. Wirth, Jens (2004): Solution representations for a wave equation with weak              dissipation, in: Math. Methods Appl. Sci., (Math. Methods Appl. Sci.), Jg. 27, Nr. 1, S. 101--124, doi: 10.1002/mma.446.
  37. Wirth, Jens (2003): About the solvability behaviour for special classes of              nonlinear hyperbolic equations, in: Nonlinear Anal., (Nonlinear Anal.), Jg. 52, Nr. 2, S. 421--431, doi: 10.1016/S0362-546X(02)00096-2.
  • Funktionalanalysis (WS2021/21)
  • Asymptotische Analysis (SS2021)
  • Schulmathematik vom Höheren Standpunkt (SS2021)
  • Höhere Mathematik III für el,kyb,mecha,phys (WS2020/21)
  • Proseminar Beweise in Bildern (SS2020)
  • Höhere Mathematik II für el,kyb,mecha,phys (SS 2020)
  • Schulmathematik vom Höheren Standpunkt (SS 2019)
  • Proseminar Gegenbeispiele aus der Analysis (SS 2019)
  • Seminar zur spektralen Graphentheorie (SS2019)
  • Partielle Differentialgleichungen 2 (WS 2018/19)
  • Harmonische Analysis (SS 2018)
  • Seminar zur Funktionalanalysis (SS 2018)
  • Funktionalanalysis (WS 2016/17)
  • Masterseminar zu Fredholmoperatoren (WS 2016/17)
  • Schulmathematik (SS 2017)
  • Proseminar Beweisen in Bildern (SS 2017)
  • Asymptotische Analysis (WS 2016/17)
  • Partielle Differentialgleichungen 2 (SS 2016)
  • Proseminar zur Geometrischen Funktionentheorie (SS 2016)
  • Partielle Differentialgleichungen 1 (WS 2015/16)
  • Masterseminar Mikrolokale Analysis (SS 2015)
  • Harmonische Analysis (WS 2014/15)
  • Funktionalanalysis (WS 2013/14)
  • Funktionenräume (WS 2012/13)

 

I have been at Stuttgart University since 2010 with a short break in spring 2013, in which I was at the LMU Munich for a substitute professorship in Applied Mathematics. In 2012 I habilitated at Stuttgart University. Before that I have worked as postdoc (Research Associate) for some time in London at Imperial College and at University Collge;  after studying and graduating from TU Bergakademie Freiberg.

Since 2015 I am a member of the International Board of Directors of ISAAC, the International Society for Analysis, its Applications and Computations.

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