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Lectures on Elliptic and Parabolic Equations in Sobolev Spaces: Graduate Studies in Mathematics, cartea 96

Autor N. V. Krylov
en Limba Engleză Hardback – 24 sep 2008
This book concentrates on the basic facts and ideas of the modern theory of linear elliptic and parabolic equations in Sobolev spaces.The main areas covered in this book are the first boundary-value problem for elliptic equations and the Cauchy problem for parabolic equations. In addition, other boundary-value problems such as the Neumann or oblique derivative problems are briefly covered. As is natural for a textbook, the main emphasis is on organizing well-known ideas in a self-contained exposition. Among the topics included that are not usually covered in a textbook are a relatively recent development concerning equationswith $\textsf{VMO}$ coefficients and the study of parabolic equations with coefficients measurable only with respect to the time variable. There are numerous exercises which help the reader better understand the material.After going through the book, the reader will have a good understanding of results available in the modern theory of partial differential equations and the technique used to obtain them. Prerequesites are basics of measure theory, the theory of $L p$ spaces, and the Fourier transform.
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Specificații

ISBN-13: 9780821846841
ISBN-10: 0821846841
Pagini: 366
Dimensiuni: 186 x 258 x 24 mm
Greutate: 0.84 kg
Editura: American Mathematical Society
Colecția American Mathematical Society
Seria Graduate Studies in Mathematics

Locul publicării:Oxford, United Kingdom