Lectures on Nonlinear Evolution Equations

Name: Lectures on Nonlinear Evolution Equations
Brand: Birkhauser
SKU: 9783319218724
Price: 609.17 RON
Availability: InStock

Initial Value Problems

Autor: Reinhard Racke

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Editura: Birkhauser

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609.17 lei

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

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Autor

Reinhard Racke

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2015

Pagini

306

EAN

9783319218724

ISBN

3319218727

Enbook ID

09378334

Editura

Birkhauser

Greutate

5974

Dimensiuni

155 x 235 x 242

Descriere completă

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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