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Direct methods in the theory of elliptic equations

Author: Jindřich Nečas; Šárka Nečasová; Christian G Simader
Publisher: Heidelberg ; New York : Springer-Verlag Berlin Heidelberg, ©2012.
Series: Springer monographs in mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Nečas{u2019} book Direct Methods in the Theory of Elliptic Equations, published 1967 in French, has become a standard reference for the mathematical theory of linear elliptic equations and systems. This English edition, translated by G. Tronel and A. Kufner, presents Nečas{u2019} work essentially in the form it was published in 1967. It gives a timeless and in some sense definitive treatment of a number issues in  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Nečas, Jindřich.
Direct methods in the theory of elliptic equations.
Heidelberg : Springer, ©2012
(DLC) 2011937623
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jindřich Nečas; Šárka Nečasová; Christian G Simader
ISBN: 9783642104558 364210455X
OCLC Number: 757938543
Description: 1 online resource (xvi, 372 pages).
Contents: 1. Introduction to the problem --
2. Sobolev spaces --
3. Exitence, Uniqueness of basic problems --
4. Regularity of solution --
5. Applications of Rellich{u2019}s inequalities and generalization to boundary value problems --
6. Sobolev spaces with weights and applications to the boundary value problems --
7. Regularity of solutions in case of irregular domains and elliptic problems with variable coefficients.
Series Title: Springer monographs in mathematics.
Responsibility: Jindřich Nečas ; editorial coordination and preface by Šárka Nečasová ; and a contribution by Christian G. Simader.

Abstract:

This text covers the mathematical theory of linear elliptic equations and systems and the related function spaces framework. It provides an introduction to the modern theory of partial differential  Read more...

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From the reviews: "The book includes many important results published as well as unpublished by several authors and results by J. Necas himself. In addition, there are numerous bibliographical hints Read more...

 
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