书目名称 | Fourier Analysis and Nonlinear Partial Differential Equations |
编辑 | Hajer Bahouri,Jean-Yves Chemin,Raphaël Danchin |
视频video | |
概述 | First accessible work giving an exhaustive and up-to-date presentation of how to use Fourier analysis to study PDEs..Written by experts in the field of Fourier analysis, this work presents a self-cont |
丛书名称 | Grundlehren der mathematischen Wissenschaften |
图书封面 |  |
描述 | .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.. |
出版日期 | Book 2011 |
关键词 | 35Q35, 76N10, 76D05, 35Q31, 35Q30; Fourier analysis; Littlewood-Paley theory; estimates; partial differe |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-642-16830-7 |
isbn_softcover | 978-3-642-26657-7 |
isbn_ebook | 978-3-642-16830-7Series ISSN 0072-7830 Series E-ISSN 2196-9701 |
issn_series | 0072-7830 |
copyright | Springer-Verlag Berlin Heidelberg 2011 |