![Chabrowski, Jan. The Dirichlet Problem with L2-Boundary Data for Elliptic Linear Equations. Springer Berlin Heidelberg, 1991.](https://eichendorff21.de/cdata/vzbBYYhTwdRWmqr0gjm1Mm8ncwQ=/300x0/9783540544869.png)
Jan Chabrowski
The Dirichlet Problem with L2-Boundary Data for Elliptic Linear Equations
- Springer Berlin Heidelberg
- 1991
- Taschenbuch
- 180 Seiten
- ISBN 9783540544869
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
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