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Science/Engineering Lectures on Elliptic and Parabolic Equations in Holder Spaces

Posted on 2010-03-16




Name:Science/Engineering Lectures on Elliptic and Parabolic Equations in Holder Spaces
ASIN/ISBN:082180569X
Language:English
File size:5 Mb
Publish Date: 1996
ISBN: 082180569X
Pages: 164 pages
File Type: PDF
File Size: 5 MB
Other Info: American Mathematical Society
   Science/Engineering Lectures on Elliptic and Parabolic Equations in Holder Spaces

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N. V. Krylov, "Lectures on Elliptic and Parabolic Equations in Holder Spaces"

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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