"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

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

This book provides a self-contained presentation of classical and new methods for studying wave phenomena that are related to the existence and stability of sol

The first part of the book provides an introduction to key tools and techniques in dispersive equations: Strichartz estimates, bilinear estimates, modulation an

This collection of new and original papers on mathematical aspects of nonlinear dispersive equations includes both expository and technical papers that reflect