Characterization of real interpolation spaces between the domain of the Laplace operator and \(L_ p(\Omega)\), \(\Omega\) polygonal, and applications (Q1093860)
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scientific article; zbMATH DE number 4024055
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterization of real interpolation spaces between the domain of the Laplace operator and \(L_ p(\Omega)\), \(\Omega\) polygonal, and applications |
scientific article; zbMATH DE number 4024055 |
Statements
Characterization of real interpolation spaces between the domain of the Laplace operator and \(L_ p(\Omega)\), \(\Omega\) polygonal, and applications (English)
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1988
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We study the real interpolation spaces between the domain of the Laplace operator with homogeneous Dirichlet boundary condition and \(L_ p(\Omega)\) when \(\Omega\) is a polygon. We make application to regularity results for the heat equation, the edge singularity for the Poisson equation in a polyhedron and the regularity for the Poisson equation in a polygon when data belong to a negative fractional order Hilbertian Sobolev space.
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real interpolation spaces
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Laplace operator with homogeneous Dirichlet boundary condition
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heat equation
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edge singularity for the Poisson equation in a polyhedron
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fractional order Hilbertian Sobolev space
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