Lectures on Elliptic and Parabolic Equations in Sobolev Spaces
Regular price
€88.99
14 days return policy
Shipping & Delivery
A01=N. V. Krylov
Author_N. V. Krylov
Category=PBKJ
Category=PBW
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Product details
- ISBN 9781470479787
- Publication Date: 30 Dec 2008
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Paperback
Secure
checkout
Fast Shipping
Easy returns
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 $\mathsf{VMO}$ 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. Prerequisites are basics of measure theory, the theory of $L_p$ spaces, and the Fourier transform.
N. V. Krylov, University of Minnesota, Minneapolis, MN.
