ENGLISH

Fourier analysis and nonlinear partial differential equations

By Hajer Bahouri , Jean-Yves Chemin , Raphaël Danchin (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2011
ISBN
3642168299, 9783642168291
DOI
10.1007/978-3-642-16830-7
Language
english
Format
PDF
Filesize
3 MB (3307813 bytes)
Series
Grundlehren der mathematischen Wissenschaften 343
Edition
1
Pages
524\540
Library
Kolxo3
Time added
2011-07-22 07:35:22
Analysis; Partial Differential Equations

Description

In recent years, the Fourier analysis methods have expereinced a growing interest in the study of partial differential equations. In particular, those techniques based on the Littlewood-Paley decomposition have proved to be very efficient for the study of evolution equations. The present book aims at presenting self-contained, state- of- the- art models of those techniques with applications to different classes of partial differential equations: transport, heat, wave and Schrödinger equations. It also offers more sophisticated models originating from fluid mechanics (in particular the incompressible and compressible Navier-Stokes equations) or general relativity. It is either directed to anyone with a good undergraduate level of knowledge in analysis or useful for experts who are eager to know the benefit that one might gain from Fourier analysis when dealing with nonlinear partial differential equations.

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