Lectures on Nonlinear Evolution Equations

Name: Lectures on Nonlinear Evolution Equations
Brand: Birkhauser
SKU: 9783319218724
Price: 43508 HUF
Availability: InStock

Initial Value Problems

Szerző: Reinhard Racke

Nyelv:

Kötés: Kemény kötésű

Kiadó: Birkhauser

Elérhetőség: Beszállítói készleten

Küldés 10-13 napon belül

43 508 Ft

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

Információk a könyvről

Szerző

Reinhard Racke

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

2015

oldal

306

EAN

9783319218724

ISBN

3319218727

Enbook ID

09378334

Kiadó

Birkhauser

Súly

5974

Méretek

155 x 235 x 242

Teljes leírás

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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Teljes leírás

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