
Lectures on Nonlinear Evolution Equations. Initial Value Problem
Kurzinformation



inkl. MwSt. Versandinformationen
Artikel zZt. nicht lieferbar
Artikel zZt. nicht lieferbar

Beschreibung
This book mainly serves as an elementary, self-contained introduction to several important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations. The book employs the classical method of continuation of local solutions with the help of a priori estimates obtained for small data. The existence and uniqueness of small, smooth solutions that are defined for all values of the time parameter are investigated. Moreover, the asymptotic behaviour of the solutions is described as time tends to infinity. The methods for nonlinear wave equations are discussed in detail. Other examples include the equations of elasticity, heat equations, the equations of thermoelasticity, Schrödinger equations, Klein-Gordon equations, Maxwell equations and plate equations. To emphasize the importance of studying the conditions under which small data problems offer global solutions, some blow-up results are briefly described. Moreover, the prospects for corresponding initial boundary value problems and for open questions are provided.In this second edition, initial-boundary value problems in waveguides are additionally considered. von Racke, Reinhard
Produktdetails

So garantieren wir Dir zu jeder Zeit Premiumqualität.
Über den Autor
- Hardcover
- 204 Seiten
- Erschienen 1999
- Oxford University Press
- Kartoniert
- 204 Seiten
- Erschienen 2007
- Springer
- Hardcover
- 176 Seiten
- Erschienen 1990
- Friedrich Vieweg & Sohn...
- Hardcover
- 548 Seiten
- Erschienen 1993
- Springer
- Hardcover
- 632 Seiten
- Erschienen 1996
- Springer
- Hardcover
- 542 Seiten
- Erschienen 2012
- Wiley
- Gebunden
- 508 Seiten
- Erschienen 2004
- Springer