This book is an introduction to partial differential equations (PDEs) and the relevant functional analysis tools which they require. It is based on a course whi

Capturing the state of the art of the interplay between partial differential equations, functional analysis, maximal regularity, and probability theory, this vo

This encyclopedic work covers the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables.

The theory of elliptic boundary problems is fundamental in analysis and the role of spaces of weakly differentiable functions (also called Sobolev spaces) is es

Partial differential equations are fundamental to the modeling of natural phenomena, arising in every field of science. Consequently, the desire to understand t