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Keywords:
the Laplace equation; weighted Sobolev spaces; the half space; existence; uniqueness; regularity
the Laplace equation; weighted Sobolev spaces; the half space; existence; uniqueness; regularity
Summary:
We deal with the Laplace equation in the half space. The use of a special family of weigted Sobolev spaces as a framework is at the heart of our approach. A complete class of existence, uniqueness and regularity results is obtained for inhomogeneous Dirichlet problem.
References:
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