Lectures on Nonlinear Evolution Equations: Initial Value Problems - Tapa blanda

Racke, Reinhard

 
9783319342597: Lectures on Nonlinear Evolution Equations: Initial Value Problems
Tapa blanda
ISBN 10: 3319342592 ISBN 13: 9783319342597
Editorial: Birkhäuser, 2016

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

De la contraportada

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 behavior 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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
2016
Idioma
Inglés
ISBN 10 
3319342592
ISBN 13 
9783319342597
Encuadernación
Tapa blanda
Número de páginas
316
Contacto del fabricante
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Poststr. 9
Darmstadt
64293
Alemania

Otras ediciones populares con el mismo título

9783319218724: Lectures on Nonlinear Evolution Equations: Initial Value Problems

Edición Destacada

ISBN 10:  3319218727 ISBN 13:  9783319218724
Editorial: Birkhäuser, 2015
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