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N.V. Krylov - Lectures on Elliptic and Parabolic Equations in Sobolev Spaces - 9780821846841 - V9780821846841
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Lectures on Elliptic and Parabolic Equations in Sobolev Spaces

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Description for Lectures on Elliptic and Parabolic Equations in Sobolev Spaces Hardcover. Focuses on the basic facts and ideas of the modern theory of linear elliptic and parabolic equations in Sobolev spaces. This book covers the first boundary-value problem for elliptic equations and the Cauchy problem for parabolic equations. It also covers other boundary-value problems such as the Neumann or oblique derivative problems. Series: Graduate Studies in Mathematics. Num Pages: 357 pages. BIC Classification: PBKJ; PBW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 258 x 186 x 24. Weight in Grams: 830.
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 equations with $\textsf{VMO}$ 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.

Product Details

Publisher
American Mathematical Society United States
Number of pages
366
Format
Hardback
Publication date
2008
Series
Graduate Studies in Mathematics
Condition
New
Weight
826g
Number of Pages
357
Place of Publication
Providence, United States
ISBN
9780821846841
SKU
V9780821846841
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1

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