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

Lectures on Elliptic and Parabolic Equations in Holder Spaces



Download Lectures on Elliptic and Parabolic Equations in Holder Spaces




Lectures on Elliptic and Parabolic Equations in Holder Spaces N. V. Krylov
Language: English
Page: 178
Format: djvu
ISBN: 082180569X, 9780821805695
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 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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