Titel: Lectures on Elliptic and Parabolic Equations in Holder Spaces (Graduate Studies in Mathematics, V. 12)
Verlag: Amer Mathematical Society
Ver�ffentlichungsdatum: 1996
Sprache: Englisch
ISBN-10: 082180569X
ISBN-13: 9780821805695
Bindung: Hardcover
Zustand: Brand New

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Inhaltsangabe

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.

Rese�a del editor

These lectures concentrate on fundamentals of the modern theory of linear elliptic and parabolic equations in H�lder 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 kind of results are available and what kinds of techniques are used to obtain them.

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