These lectures concentrate on fundamentals of the modern theory of linear elliptic and parabolic equations in Hoelder 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.
N. V Krylov
Lectures on Elliptic and Parabolic Equations in Hoelder Spaces [PDF ebook]
Lectures on Elliptic and Parabolic Equations in Hoelder Spaces [PDF ebook]
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格式 PDF ● 网页 164 ● ISBN 9781470420703 ● 出版者 American Mathematical Society ● 发布时间 2015 ● 下载 3 时 ● 货币 EUR ● ID 6613757 ● 复制保护 Adobe DRM
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