Lectures on Nonlinear Evolution Equations - Initial Value Problems (Hardcover, 2nd ed. 2015)

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, Schroedinger 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.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Release date:	September 2015
First published:	2015
Authors:	Reinhard Racke
Dimensions:	235 x 155 x 19mm (L x W x T)
Format:	Hardcover - Cloth over boards
Pages:	306
Edition:	2nd ed. 2015
ISBN-13:	978-3-319-21872-4
Languages:	English
Subtitles:	English
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Promotions
LSN:	3-319-21872-7
Barcode:	9783319218724

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!