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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Dirichlet Problem with L2-Boundary Data for Elliptic Linear Equations

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

Chabrowski, Jan

Paperback

Series: Lecture Notes in Mathematics, Book 1482

General Mathematics

ISBN10: 3540544860
ISBN13: 9783540544869
Publisher: Springer Nature
Published: Sep 25 1991
Pages: 173
Weight: 0.57
Height: 0.38 Width: 6.14 Depth: 9.21
Language: English
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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