This book is an introduction to the general theory of second order parabolic differential equations, which model many important, time-dependent physical systems

Introduction. Maximum principles. Introduction to the theory of weak solutions. Hölder estimates. Existence, uniqueness, and regularity of solutions. Further t

Most books on elliptic and parabolic equations emphasize existence and uniqueness of solutions. By contrast, this book focuses on the qualitative properties of

The parabolic partial differential equations model one of the most important processes in the real-world: diffusion. Whether it is the diffusion of energy in sp

With this book, even readers unfamiliar with the field can acquire sufficient background to understand research literature related to the theory of parabolic an