Lectures on Elliptic and Parabolic Equations in Holder Spaces

Lectures on Elliptic and Parabolic Equations in Holder Spaces

by N. V. Krylov
     
 

ISBN-10: 082180569X

ISBN-13: 9780821805695

Pub. Date: 09/01/1996

Publisher: American Mathematical Society

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

Overview

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.

Product Details

ISBN-13:
9780821805695
Publisher:
American Mathematical Society
Publication date:
09/01/1996
Series:
Graduate Studies in Mathematics Series, #12
Pages:
164
Sales rank:
1,112,420
Product dimensions:
7.20(w) x 10.20(h) x 0.60(d)

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