Fourier analysis and nonlinear partial differential equations [electronic resource]
- 作者： Bahouri, Hajer.
- 其他作者：
- 出版： Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg
- 叢書名： Grundlehren der mathematischen Wissenschaften343
- 主題： Fourier analysis , Differential equations, Partial , Mathematics , Analysis. , Partial Differential Equations.
- ISBN： 9783642168307 (electronic bk.) 、 9783642168291 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
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讀者標籤：
- 系統號： 005068886 | 機讀編目格式
館藏資訊
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.