num_pages: 524
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 Schrdinger 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.
language: None
title: Fourier Analysis and Nonlinear Partial Differential Equations: 343
publisher: Springer