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

Jan Chabrowski

ISBN 10: 3540544860 / ISBN 13: 9783540544869

Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Sep 1991, 1991

Beschreibung

Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 180 pp. Englisch.

Bestandsnummer des Verkäufers 9783540544869

Bibliografische Details

• Titel: The Dirichlet Problem with L2-Boundary Data for Elliptic Linear Equations
• Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Sep 1991
• Erscheinungsjahr: 1991
• Sprache: Englisch
• ISBN-10: 3540544860
• ISBN-13: 9783540544869
• Einband: Taschenbuch
• Zustand: Neu

Über diesen Titel

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.