Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations: A Volume of Advances in Partial Differential Equations
Gespeichert in:
| Weitere Verfasser: | , , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
2003
|
| Schriftenreihe: | Operator Theory: Advances and Applications
145 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is the seventh volume of "Advances in Partial Differential Equations" , a series originating from the work of the research group "Partial Differential Equations and Complex Analysis" at the University of Potsdam. The present volume focuses on recent developments in nonlinear and hyperbolic equations. In the first contribution, P. Popivanov of Sofia studies the singularities of solutions of several classes of nonlinear partial differential equations and systems. He begins with a survey of the known theory on propagation and interaction of singularities and then presents his own results which have applications to the Monge-Ampere equation, to quasi-linear systems arising in fluid mechanics as well as to integro-differential equations for mechanics of media with memory. There follows an article by F. Hirosawa (Tsukuba) and M. Reissig (Freiberg) on Lp - Lq decay estimates for Klein-Gordon equations with time-dependent coefficients. They explain, in particular, the influence of the relation between the mass term and the wave propagation speed on the estimates. The third paper is by M. Dreher (Freiberg). He investigates quasi-linear weakly hyperbolic equations. His main topics are the local existence of solutions in Sobolev spaces and Coo, blow-up criteria, domains of dependence, and C= regularity. Spectral theory of semi bounded selfadjoint operators is the topic of the contribution by A. Noll (Darmstadt). He proves upper and lower bounds for the bottom eigenvalue as well as an upper bound for the second eigenvalue in terms of capacitary estimates |
| Beschreibung: | 1 Online-Ressource (VII, 440 p) |
| ISBN: | 9783034880732 9783034894296 |
| DOI: | 10.1007/978-3-0348-8073-2 |
Internformat
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Datensatz im Suchindex
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| spelling | Albeverio, Sergio edt Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations A Volume of Advances in Partial Differential Equations edited by Sergio Albeverio, Michael Demuth, Elmar Schrohe, Bert-Wolfgang Schulze Basel Birkhäuser Basel 2003 1 Online-Ressource (VII, 440 p) txt rdacontent c rdamedia cr rdacarrier Operator Theory: Advances and Applications 145 This book is the seventh volume of "Advances in Partial Differential Equations" , a series originating from the work of the research group "Partial Differential Equations and Complex Analysis" at the University of Potsdam. The present volume focuses on recent developments in nonlinear and hyperbolic equations. In the first contribution, P. Popivanov of Sofia studies the singularities of solutions of several classes of nonlinear partial differential equations and systems. He begins with a survey of the known theory on propagation and interaction of singularities and then presents his own results which have applications to the Monge-Ampere equation, to quasi-linear systems arising in fluid mechanics as well as to integro-differential equations for mechanics of media with memory. There follows an article by F. Hirosawa (Tsukuba) and M. Reissig (Freiberg) on Lp - Lq decay estimates for Klein-Gordon equations with time-dependent coefficients. They explain, in particular, the influence of the relation between the mass term and the wave propagation speed on the estimates. The third paper is by M. Dreher (Freiberg). He investigates quasi-linear weakly hyperbolic equations. His main topics are the local existence of solutions in Sobolev spaces and Coo, blow-up criteria, domains of dependence, and C= regularity. Spectral theory of semi bounded selfadjoint operators is the topic of the contribution by A. Noll (Darmstadt). He proves upper and lower bounds for the bottom eigenvalue as well as an upper bound for the second eigenvalue in terms of capacitary estimates Mathematics Functional analysis Operator theory Differential equations, partial Mathematical physics Operator Theory Functional Analysis Partial Differential Equations Mathematical Methods in Physics Mathematik Mathematische Physik Wavelet (DE-588)4215427-3 gnd rswk-swf Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Partieller Differentialoperator (DE-588)4173439-7 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Partieller Differentialoperator (DE-588)4173439-7 s Spektraltheorie (DE-588)4116561-5 s 2\p DE-604 Wavelet (DE-588)4215427-3 s 3\p DE-604 Hyperbolische Differentialgleichung (DE-588)4131213-2 s 4\p DE-604 Demuth, Michael edt Schrohe, Elmar edt Schulze, Bert-Wolfgang edt Operator Theory Advances and Applications 145 (DE-604)BV035421307 145 https://doi.org/10.1007/978-3-0348-8073-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations A Volume of Advances in Partial Differential Equations Mathematics Functional analysis Operator theory Differential equations, partial Mathematical physics Operator Theory Functional Analysis Partial Differential Equations Mathematical Methods in Physics Mathematik Mathematische Physik Wavelet (DE-588)4215427-3 gnd Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd Spektraltheorie (DE-588)4116561-5 gnd Partieller Differentialoperator (DE-588)4173439-7 gnd |
| subject_GND | (DE-588)4215427-3 (DE-588)4131213-2 (DE-588)4116561-5 (DE-588)4173439-7 (DE-588)4143413-4 |
| title | Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations A Volume of Advances in Partial Differential Equations |
| title_auth | Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations A Volume of Advances in Partial Differential Equations |
| title_exact_search | Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations A Volume of Advances in Partial Differential Equations |
| title_full | Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations A Volume of Advances in Partial Differential Equations edited by Sergio Albeverio, Michael Demuth, Elmar Schrohe, Bert-Wolfgang Schulze |
| title_fullStr | Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations A Volume of Advances in Partial Differential Equations edited by Sergio Albeverio, Michael Demuth, Elmar Schrohe, Bert-Wolfgang Schulze |
| title_full_unstemmed | Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations A Volume of Advances in Partial Differential Equations edited by Sergio Albeverio, Michael Demuth, Elmar Schrohe, Bert-Wolfgang Schulze |
| title_short | Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations |
| title_sort | nonlinear hyperbolic equations spectral theory and wavelet transformations a volume of advances in partial differential equations |
| title_sub | A Volume of Advances in Partial Differential Equations |
| topic | Mathematics Functional analysis Operator theory Differential equations, partial Mathematical physics Operator Theory Functional Analysis Partial Differential Equations Mathematical Methods in Physics Mathematik Mathematische Physik Wavelet (DE-588)4215427-3 gnd Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd Spektraltheorie (DE-588)4116561-5 gnd Partieller Differentialoperator (DE-588)4173439-7 gnd |
| topic_facet | Mathematics Functional analysis Operator theory Differential equations, partial Mathematical physics Operator Theory Functional Analysis Partial Differential Equations Mathematical Methods in Physics Mathematik Mathematische Physik Wavelet Hyperbolische Differentialgleichung Spektraltheorie Partieller Differentialoperator Aufsatzsammlung |
| url | https://doi.org/10.1007/978-3-0348-8073-2 |
| volume_link | (DE-604)BV035421307 |
| work_keys_str_mv | AT albeveriosergio nonlinearhyperbolicequationsspectraltheoryandwavelettransformationsavolumeofadvancesinpartialdifferentialequations AT demuthmichael nonlinearhyperbolicequationsspectraltheoryandwavelettransformationsavolumeofadvancesinpartialdifferentialequations AT schroheelmar nonlinearhyperbolicequationsspectraltheoryandwavelettransformationsavolumeofadvancesinpartialdifferentialequations AT schulzebertwolfgang nonlinearhyperbolicequationsspectraltheoryandwavelettransformationsavolumeofadvancesinpartialdifferentialequations |