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

Fourier Series in Several Variables with Applications to Partial Differential Equations illustrates the value of Fourier series methods in solving difficult non

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

The importance of partial differential equations (PDEs) in modeling phenomena in engineering as well as in the physical, natural, and social sciences is well kn