The Dirichlet Problem with L2-Boundary Data for Elliptic Linear Equations (Lecture Notes in Mathematics, 1482, Band 1482) - Softcover

Chabrowski, Jan

 
9783540544869: The Dirichlet Problem with L2-Boundary Data for Elliptic Linear Equations (Lecture Notes in Mathematics, 1482, Band 1482)
Softcover
ISBN 10: 3540544860 ISBN 13: 9783540544869
Verlag: Springer Berlin Heidelberg, 2010

Inhaltsangabe

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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Verlag
Springer Berlin Heidelberg
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
3540544860
ISBN 13 
9783540544869
Einband
Taschenbuch
Anzahl der Seiten
180
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9780387544861: The Dirichlet Problem With L2-Boundary Data for Elliptic Linear Equations (Lecture Notes in Mathematics, Vol 1482)

Vorgestellte Ausgabe

ISBN 10:  0387544860 ISBN 13:  9780387544861
Softcover