ENGLISH

Lectures on Elliptic and Parabolic Equations in Holder Spaces

By N. V. Krylov

Book information

Publisher
American Mathematical Society
Year
1996
ISBN
9780821805695, 082180569X
LCC
QA377 .K758 1996
Language
english
Format
DJVU
Filesize
5 MB (5188580 bytes)
Series
Graduate Studies in Mathematics 12
Pages
178\178
Time added
2010-10-13 10:14:08

Description

These lectures concentrate on fundamentals of the modern theory of linear elliptic and parabolic equations in Holder 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, with nearly 200 exercises, will provide a good understanding of what kinds of results are available and what kinds of techniques are used to obtain them.

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