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The Dirichlet problem with L²-boundary data for elliptic linear equations /

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The Dirichlet problem has a very long history in mathematics and its importance in partial differential equations, harmonic analysis, potential theory and the applied sciences is well-known. In the last decade the Dirichlet problem with L2-boundary data has attracted the attention of several mathema...

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Bibliographic Details
Main Author: Chabrowski, Jan, 1941-
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin ; New York : Springer-Verlag, [1991]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1482.
Subjects:
Dirichlet problem.
Differential equations, Elliptic > Numerical solutions.
résolution équation.
EDP.
problème Dirichlet.
équation linéaire.
équation elliptique.
Dirichlet, Problème de.
Équations différentielles elliptiques > Solutions numériques.
Probleem van Dirichlet.
Elliptische differentiaalvergelijkingen.
Équations différentielles elliptiques.
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary:The Dirichlet problem has a very long history in mathematics and its importance in partial differential equations, harmonic analysis, potential theory and the applied sciences is well-known. In the last decade the Dirichlet problem with L2-boundary data has attracted the attention of several mathematicians. The significant features of this recent research are the use of weighted Sobolev spaces, existence results for elliptic equations under very weak regularity assumptions on coefficients, energy estimates involving L2-norm of a boundary data and the construction of a space larger than the usual Sobolev space W1,2 such that every L2-function on the boundary of a given set is the trace of a suitable element of this space. The book gives a concise account of main aspects of these recent developments and is intended for researchers and graduate students. Some basic knowledge of Sobolev spaces and measure theory is required.
Item Description:Electronic resource.
Physical Description:1 online resource (vi, 173 pages)
Format:Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:Includes bibliographical references (pages 168-171) and index.
ISBN:9783540384007 (electronic bk.)
3540384006 (electronic bk.)
ISSN:0075-8434 ;