Nonlocal general boundary value problems of elliptic type in \(L^p\) cases (Q305818)
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scientific article; zbMATH DE number 6620717
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlocal general boundary value problems of elliptic type in \(L^p\) cases |
scientific article; zbMATH DE number 6620717 |
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Nonlocal general boundary value problems of elliptic type in \(L^p\) cases (English)
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31 August 2016
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The paper is motivated by an evolution problem, related with population dynamic, involving the Fisher model. The problem of harmonic functions in a bounded regular open set with non-local conditions on the boundary is also related. The point is to get necessary and sufficient conditions on the data, for which a semi-strict monotone solution can be obtained. In a Banach space with a specific geometrical property, some new results are given, in the case of non-smooth boundary conditions, by using semi-groups and interpolation theory.
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nonlocal boundary conditions
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fractional powers of operators
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interpolation spaces
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semigroup theory
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UMD spaces
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