Lectures on Nonlinear Evolution Equations

Name: Lectures on Nonlinear Evolution Equations
Brand: Birkhauser
SKU: 9783319218724
Price: 110.02 EUR
Availability: InStock

Initial Value Problems

Autor: Reinhard Racke

Jazyk:

Väzba: Pevná

Vydavateľ: Birkhauser

Dostupnosť: Skladom u dodávateľa

Odosielame za 10-13 dní

110.02 €

This book mainly serves as an elementary, self-contained introduction to several important aspects o...

Informácie o knihe

Autor

Reinhard Racke

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

2015

Stránok

306

EAN

9783319218724

ISBN

3319218727

Enbook ID

09378334

Vydavateľ

Birkhauser

Hmotnosť

5974

Rozmery

155 x 235 x 242

Kompletný popis

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.§

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Lectures on Nonlinear Evolution Equations

Initial Value Problems

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