Lectures on Elliptic and Parabolic Equations in Sobolev Spaces

Lectures on Elliptic and Parabolic Equations in Sobolev Spaces
Author :
Publisher : American Mathematical Soc.
Total Pages : 377
Release :
ISBN-10 : 9780821846841
ISBN-13 : 0821846841
Rating : 4/5 (841 Downloads)

Book Synopsis Lectures on Elliptic and Parabolic Equations in Sobolev Spaces by : Nikolaĭ Vladimirovich Krylov

Download or read book Lectures on Elliptic and Parabolic Equations in Sobolev Spaces written by Nikolaĭ Vladimirovich Krylov and published by American Mathematical Soc.. This book was released on 2008 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Lectures on Elliptic and Parabolic Equations in Sobolev Spaces Related Books

Lectures on Elliptic and Parabolic Equations in Sobolev Spaces
Language: en
Pages: 377
Authors: Nikolaĭ Vladimirovich Krylov
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

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
Lectures on Elliptic and Parabolic Equations in Holder Spaces
Language: en
Pages: 178
Authors: Nikolaĭ Vladimirovich Krylov
Categories: Mathematics
Type: BOOK - Published: 1996 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

These lectures concentrate on fundamentals of the modern theory of linear elliptic and parabolic equations in H older spaces. Krylov shows that this theory - in
Lectures on Elliptic Partial Differential Equations
Language: en
Pages: 234
Authors: Luigi Ambrosio
Categories: Mathematics
Type: BOOK - Published: 2019-01-10 - Publisher: Springer

DOWNLOAD EBOOK

The book originates from the Elliptic PDE course given by the first author at the Scuola Normale Superiore in recent years. It covers the most classical aspects
Functional Analysis, Sobolev Spaces and Partial Differential Equations
Language: en
Pages: 603
Authors: Haim Brezis
Categories: Mathematics
Type: BOOK - Published: 2010-11-10 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of
Lectures on Linear Partial Differential Equations
Language: en
Pages: 432
Authors: Grigoriĭ Ilʹich Eskin
Categories: Mathematics
Type: BOOK - Published: 2011 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This is a reader-friendly, relatively short introduction to the modern theory of linear partial differential equations. An effort has been made to present compl