Appropriate for a one-term, graduate level course in Partial Differential Equations.Designed to bridge the gap between graduate-level texts in partial differential equations and the current literature in research journals, this text introduces students to a wide variety of more modern methods -- especially the use of functional analysis -- which has characterized much of the recent development of PDEs.
I made it up through the chapter on functional analysis/Sobolev spaces, but at some point in that vicinity, the author became a lot less clear - probably he made it to the end of his lecture notes and then added additional material. In any case, I skimmed the rest of the book. It's an OK introduction to mathematical PDEs for the applied mathematician, but there's probably a better text out there.