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Dr. Jens Wirth
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Dr. Jens Wirth
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| Anschrift |
Universität Stuttgart
Fachbereich Mathematik Institut für Analysis, Dynamik und Modellierung Lehrstuhl für Analysis und Mathematische Physik Pfaffenwaldring 57 D-70569 Stuttgart |
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| Telefon | ++49 (0)711/ 685-65517 | |
| Fax | ++49 (0)711/ 685-65594 | |
| Zimmer | 8.148 | |
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| Mitglied von DMV, EMS, ISAAC und des Mathematik Olympiaden e.V. | ||
Weitere Informationen |
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| Lehre: | ||
| SoSe'12 (Pro-)Seminar Analysis | ||
| SoSe'12 AMP Doktorandenseminar (M. Griesemer/T. Weidl) | ||
| WiSe'11/12 Analysis I (M. Griesemer) | ||
| WiSe'11/12 AMP Doktorandenseminar (M. Griesemer/T. Weidl) | ||
| SoSe'11 Ausgewählte Kapitel zur Analysis partieller Differentialgleichungen | ||
| SoSe'11 Höhere Mathematik IV (M. Griesemer) | ||
| SoSe'11/12 AMP Doktorandenseminar (M. Griesemer/T. Weidl) | ||
| WiSe'10/11 Funktionalanalysis (T. Dohnal) | ||
| Interessengebiete: | ||
| Analysis partieller Differentialgleichungen, insbesondere Evolutionsgleichungen | ||
| Operatortheorie, speziell Pseudodifferential- und Fourierintegraloperatoren | ||
| Harmonische Analysis im Rn, sowie auf Liegruppen | ||
| Aktuelles: | ||
| Konferenzen/Workshops: | ||
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Fourier Analysis and Pseudo-Differential Operators, Helsinki Juni 2012 (Konferenz, organisiert von M. Ruzhansky, M. Sugimoto, V. Turunen und J. Wirth) | ||
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Asymptotic Properties of Solutions to Hyperbolic Equations, London März 2011 (Workshop, organisiert von M. Ruzhansky, C. Garetto und J. Wirth) Proceedings: | ||
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7th
International ISAAC Congress, London Juli 2009 | ||
| Auszeichnungen: | ||
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2010 Daiwa Adrian Prize
für wissenschaftliche Zusammenarbeit zwischen UK und Japan. Britisches Team: M. Ruzhansky, J. Wirth, C. Garetto, I. Kamotski Japanisches Team: M. Sugimoto, T. Matsuyama, F. Hirosawa, N. Tomita | ||
| Veröffentlichungen: | ||
| Preprints: | ||
| M. Ruzhansky, J. Wirth, Asymptotic Behaviour of Solutions to Hyperbolic Partial Differential Equations {Preprint, arXiv:1203.3853} | ||
| J. Wirth, Diffusion phenomena for partially dissipative hyperbolic systems. {Preprint, arXiv:1110.0797} | ||
| A. Hänel, C. Schulz, J. Wirth, Embedded eigenvalues for the elastic strips with cracks. {Preprint 2011-018} | ||
| J. Wirth, Thermo-elasticity for anisotropic media in higher dimensions. {Preprint 2011-017, arXiv:1109.3853} | ||
| M. Ruzhansky, J. Wirth, Lp-multipliers on compact Lie groups. {Preprint, arXiv:1102.3988} | ||
| M. Ruzhansky, V. Turunen, J. Wirth, Hörmander class of pseudo-differential operators on compact Lie groups and global hypoellipticity. {Preprint, arXiv:1004.4396} | ||
| Erschienene Arbeiten: | ||
| M. Ruzhansky, J. Wirth, Multipliers on compact Lie groups (in Russisch). Funkz. Anal. Prilozh., to appear. (Übersetzt in: Funkt. Anal. Appl.) | ||
| M. Ruzhansky, J. Wirth, Dispersive estimates for hyperbolic systems with time-dependent coefficients. Journal of Differential Equations, 251:941-969, 2011. {doi:10.1016/j.jde.2011.04.022} | ||
| M. Ruzhansky, J. Wirth, Dispersive type estimates for Fourier integrals and applications to hyperbolic systems. Discr. Cont. Dyn. Systems, Supplement (2011) 1263-1270. {Preprint, arXiv:1006.5600} | ||
| S. Ebert, J. Wirth, Diffusive wavelets on groups and homogeneous spaces. Proc. Roy. Soc. Edinburgh 141A:497-520, 2011. {doi:10.1017/S030821051000051X} | ||
| J. Wirth, Energy inequalities and dispersive estimates for wave equations with time-dependent coefficients, Rend. Mat. Univ. Trieste, Vol. 42 Suppl. 205-219, 2010. {42suppl/110.pdf} | ||
| K. Jachmann, J. Wirth, Diagonalisation schemes and applications, Annali di Matematica Pura ed Applicata 189(4):571-590, 2010. {doi:10.1007/s10231-009-0125-6} | ||
| F. Hirosawa, J. Wirth, Generalised energy conservation law for the wave equations with variable propagation speed, Journal of Mathematical Analysis and Applications 358:56-74, 2009. {doi:10.1016/j.jmaa.2009.04.048} | ||
| J. Wirth, Block-diagonalisation of matrices and operators, Linear Algebra and Applications 431:895-902, 2009. {doi:10.1016/j.laa.2009.03.044} | ||
| J. Wirth, Dispersive estimates in anisotropic thermo-elasiticity, in Further Progress in Analysis, Proceedings of the 6th International ISAAC Congress (H.G.W. Begehr, A.O. Celebi, R.P. Gilbert ed.), p. 495-504, World Scientific, 2009. | ||
| M. Ruzhansky, J. Wirth, Dispersive estimates for t-dependent hyperbolic systems, Rendiconti del Seminario Matematico, Universita e Politecnico di Torino, 64(4):339-349, 2008. {66-4/339.pdf} Corrigendum: 68(1):93, 2010. {68-1/93.pdf} | ||
| F. Hirosawa, J. Wirth, Cm-theory of damped wave equations with stabilisation, Journal of Mathematical Analysis and Applications 343(2):1022-1035, 2008. {doi:10.1016/j.jmaa.2008.02.024} | ||
| J. Wirth, On the influence of time-periodic dissipation on energy and dispersive estimates, Hiroshima Mathematical Journal 38(3):397-410, 2008. {Preprint arXiv:math.AP/0510343} | ||
| J. Wirth, Anisotropic thermo-elasticity in 2D. Part II: Applications, Asymptotic Analysis 57(1/2):29-40, 2008. {doi:10.3233/ASY-2008-0883} | ||
| M. Reissig, J. Wirth, Anisotropic thermo-elasticity in 2D. Part I: A unified treatment, Asymptotic Analysis 57(1/2):1-27, 2008. {doi:10.3233/ASY-2008-0863} | ||
| J. Wirth, Scattering and modified scattering for abstract wave equations with time-dependent dissipation, Advances in Differential Equations, 12(10):1115-1133, 2007. {Preprint arXiv:math.AP/0606015} | ||
| J. Wirth, Wave equations with time-dependent dissipation II. Effective dissipation, Journal of Differential Equations, 232(2):74-103, 2007. {doi:10.1016/j.jde.2006.06.004} | ||
| M. Reissig, J. Wirth, Lp-Lq decay estimates for wave equations with monotone time-dependent dissipation, in Mathematical Models of Phenomena and Evolution Equations (Naoki Yamada, ed.) p. 91-106, RIMS Kôkyûroku Nr. 1475, 2006. {1475-7.pdf} {Preprint arXiv:math.AP/0508549} | ||
| J. Wirth, Wave equations with time-dependent dissipation I. Non-effective dissipation, Journal of Differential Equations, 222(2):487-514, 2006. {doi:10.1016/j.jde.2005.07.019} | ||
| J. Wirth, Solution Representations for a Wave Equation with Weak Dissipation, Mathematical Methods in the Applied Sciences, 27(1):101-124, 2004. {doi:10.1002/mma.446} | ||
| J. Wirth, About The Solvability Behaviour for Special Classes of Nonlinear Hyperbolic Equations, Nonlinear Analysis: Theory, Methods & Applications, Vol. 52(2):421-431, 2003. {doi:10.1016/S0362-546X(02)00096-2} | ||
| Bücher / Herausgeberschaft: | ||
| M. Ruzhansky, M. Sugimoto, J. Wirth, Evolution Equations of Hyperbolic and Schrödinger Type. Asymptotics, Estimates and Nonlinearities, in der Reihe Progress in Mathematics, Vol. 301, ISBN 978-3-0348-0453-0, Birkhäuser Basel, 2012. {flyer} {contents} {doi:10.1007/978-3-0348-0453-0} | ||
| M. Ruzhansky, J. Wirth, Progress in Analysis and its Applications, Proceedings of the 7th International ISAAC Congress, ISBN-13 978-981-4313-16-2, World Scientific, 668p., 2010. {flyer} {contents} | ||
| M. Ruzhansky, J. Wirth, Modern Aspects of the Theory of Partial Differential Equations, in der Reihe Operator Theory: Advances and Applications, Vol. 216, ISBN 978-3-0348-0068-6, Birkhäuser, Basel, 2011. {flyer} {contents} {doi:10.1007/978-3-0348-0069-3} | ||
| Theses: | ||
| J. Wirth, Decoupling techniques for partial differential equations and the large-time behaviour of their solutions, Habilitationsschrift, Universität Stuttgart, 2012. | ||
| J. Wirth, Asymptotic properties of solutions to wave equations with time-dependent dissipation, Dissertation, TU Bergakademie Freiberg, 2005. {urn:nbn:de:swb:105-9950076} | ||
| J. Wirth, About the Solvability Behaviour for Special Classes of Nonlinear Hyperbolic Equations, Diplom-Arbeit, TU Bergakademie Freiberg, 2001. | ||
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