Lectures on Elliptic and Parabolic Equations in Hölder Spaces

These lectures concentrate on fundamentals of the modern theory of linear elliptic and parabolic equations in Hölder spaces. Krylov shows that this theory -- including some issues of the theory of nonlinear equations -- is based on some general and extremely powerful ideas and some simple computations. This book, with nearly 200 exercises, will provide a good understanding of what kind of results are available and what kinds of techniques are used to obtain them.