Téléchargez le livre : Lectures on Nonlinear Evolution Equations

Lectures on Nonlinear Evolution Equations

Initial Value Problems

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Éditeur :

Birkhäuser


Paru le : 2015-08-31



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Description

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.
Pages
306 pages
Collection
n.c
Parution
2015-08-31
Marque
Birkhäuser
EAN papier
9783319218724
EAN PDF
9783319218731
Informations sur l'ebook
Nombre pages copiables
3
Nombre pages imprimables
30
Taille du fichier
2980 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
105,49 €

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