Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations : a Volume of Advances in Partial Differential Equations /
This volume focuses on recent developments in non-linear and hyperbolic equations. In the first contribution, the singularities of the solutions of several classes of non-linear partial differential equations are investigated. Applications concern the Monge-Ampre equation, quasi-linear systems arisi...
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| Other Authors: | , , |
| Format: | eBook |
| Language: | English |
| Published: |
Basel :
Birkhäuser Basel : Imprint : Birkhäuser,
2003.
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| Series: | Operator theory, advances and applications ;
145. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | This volume focuses on recent developments in non-linear and hyperbolic equations. In the first contribution, the singularities of the solutions of several classes of non-linear partial differential equations are investigated. Applications concern the Monge-Ampre equation, quasi-linear systems arising in fluid mechanics as well as integro-differential equations for media with memory. There follows an article on L_p-L_q decay estimates for Klein-Gordon equations with time-dependent coefficients, explaining, in particular, the influence of the relation between the mass term and the wave propagation speed. The next paper addresses questions of local existence of solutions, blow-up criteria, and C^8 regularity for quasilinear weakly hyperbolic equations. Spectral theory of semibounded selfadjoint operators is the topic of a further contribution, providing upper and lower bounds for the bottom eigenvalue as well as an upper bound for the second eigenvalue in terms of capacitary estimates. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (VII, 437 pages) |
| ISBN: | 9783034880732 (electronic bk.) 3034880731 (electronic bk.) |