Partial Differential Equations: Methods and Applications

For a one-year, graduate-level course in Partial Differential Equations. Designed to bridge the gap between introductory texts in partial differential equations and the current literature in research journals, this text introduces students to the basics of classical PDEs and to a wide variety of more modern methods-especially the use of functional analysis-which has characterized much of the recent development of PDEs. Throughout, the results are almost completely self-contained.