Lectures on Elliptic and Parabolic Equations in Sobolev Spaces

N. V. Krylov

ISBN 10: 0821846841 / ISBN 13: 9780821846841

Editore: American Mathematical Society, 2008

Riguardo questo articolo

2008. UK ed. 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. . . . . . Books ship from the US and Ireland.

Codice articolo V9780821846841

Dati bibliografici

• Titolo: Lectures on Elliptic and Parabolic Equations in Sobolev Spaces
• Editore: American Mathematical Society
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 0821846841
• ISBN 13: 9780821846841
• Rilegatura: Rilegato
• Condizione: New

Descrizione articolo

Riassunto

Krylov concentrates on the first boundary-value problem for elliptic equation and the Cauchy problem for parabolic equations, and addresses other issues such as Neumann and oblique derivative problems. With numerous exercises (and hints for their solution) throughout he covers certain second-order elliptic equations, tools from real analysis, certain basic estimates for parabolic and elliptical equations, equations with continuous coefficients, certain Sobolev embedding theorems, Fourier transforms and elliptical operators, and elliptical operators and certain spaces. Very interesting, especially in a textbook, is Krylov's material on equations with VMO coefficients and parabolic equations with VMO coefficients in spaces with mixed norms. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com)