Separable anisotropic differential operators and applications (Q860654)
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scientific article; zbMATH DE number 5083345
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Separable anisotropic differential operators and applications |
scientific article; zbMATH DE number 5083345 |
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Separable anisotropic differential operators and applications (English)
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9 January 2007
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The author discusses some fundamental properties for some differential operators in \(L^p\)-spaces. Sufficient conditions are given to get the maximal regularity and the Fredholmness of those operators. The author uses the operator-valued multipliers, the interpolation of Banach spaces, and semigroup theory. Applications are given for some quasielliptic partial differential equations with nonlocal BVP and systems of quasielliptic equations on cylindrical domains.
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boundary value problems
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separable BVP's
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differential-operator equations
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Banach-valued function spaces
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operator-valued multipliers
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interpolation of Banach spaces
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semigroup of operators
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differential operator
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maximal regularity
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Fredholmness
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