In recent years, the Fourier analysis methods have expereinced a growing interest in the study of partial differential equations. In particular, those technique

This book was first published in 2001. It provides an introduction to Fourier analysis and partial differential equations and is intended to be used with course

Discussing many results and studies from the literature, this work illustrates the value of Fourier series methods in solving difficult nonlinear PDEs. Using th

This textbook introduces the well-posedness theory for initial-value problems of nonlinear, dispersive partial differential equations, with special focus on two

"Starting only with a basic knowledge of graduate real analysis and Fourier analysis, the text first presents basic nonlinear tools such as the bootstrap method