The Dirichlet Problem with L2-Boundary Data for Elliptic Linear Equations - Couverture souple

Chabrowski, Jan

 
9783540544869: The Dirichlet Problem with L2-Boundary Data for Elliptic Linear Equations
Couverture souple
ISBN 10 : 3540544860 ISBN 13 : 9783540544869
Editeur : Springer Berlin Heidelberg, 2010

Synopsis

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.

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Éditeur
Springer Berlin Heidelberg
Date d'édition
2010
Langue
anglais
ISBN 10 
3540544860
ISBN 13 
9783540544869
Reliure
Broché
Nombre de pages
180
Coordonnées du fabricant
non disponible
Personne responsable
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Autres éditions populaires du même titre

9780387544861: The Dirichlet Problem With L2-Boundary Data for Elliptic Linear Equations

Edition présentée

ISBN 10 :  0387544860 ISBN 13 :  9780387544861
Couverture souple