Lectures on Elliptic and Parabolic Equations in Hölder Spaces
- ISBN-10
- 082180569X
- ISBN-13
- 9780821805695
- Category
- Mathematics
- Pages
- 164
- Language
- English
- Published
- 1996
- Publisher
- American Mathematical Soc.
- Author
- Nikolaĭ Vladimirovich Krylov
Description
These lectures concentrate on fundamentals of the modern theory of linear elliptic and parabolic equations in H older 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. The main object of study is the first boundary-value problems for elliptic and parabolic equations, with some guidelines concerning other boundary-value problems such as the Neumann or oblique derivative problems or problems involving higher-order elliptic operators acting on the boundary. Numerical approximations are also discussed. This book, containing 200 exercises, aims to provide a good understanding of what kind of results are available and what kinds of techniques are used to obtain them.
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