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

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

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

This book provides a brief, self-contained introduction to Carleman estimates for three typical second order partial differential equations, namely elliptic, pa