Lectures on elliptic and parabolic equations in Hölder spaces
著者
書誌事項
Lectures on elliptic and parabolic equations in Hölder spaces
（Graduate studies in mathematics, v. 12）
American Mathematical Society, c1996
大学図書館所蔵 件 / 全64件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Bibliography: p. 161
Includes index
内容説明・目次
内容説明
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.
目次
Elliptic equations with constant coefficients in $\mathbb R^d$ Laplace's equation Solvability of elliptic equations with constant coefficients in the Holder spaces Elliptic equations with variable coefficients in $\mathbb R^d$ Second-order elliptic equations in half spaces Second-order elliptic equations in smooth domains Elliptic equations in non-smooth domains Parabolic equations in the whole space Boundary-value problems for parabolic equations in half spaces Parabolic equations in domains Bibliography Index.
「Nielsen BookData」 より
