Maximal regularity for parabolic initial-boundary value problems in Sobolev spaces (Q803386)
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scientific article; zbMATH DE number 4200706
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximal regularity for parabolic initial-boundary value problems in Sobolev spaces |
scientific article; zbMATH DE number 4200706 |
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Maximal regularity for parabolic initial-boundary value problems in Sobolev spaces (English)
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1991
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The initial-boundary value problem for a parabolic equation is studied through functional analytic methods. Maximal regularity results are obtained in Sobolev spaces. The main abstract tool is a theorem that allows to get maximal regularity for the equation \(Au+Bu=f\) in spaces related to \({\mathcal D}(A^ n)\), by exploiting maximal regularity in the space in which A and B are defined.
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maximal regularity
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