Resolution, in \(L^{p}\)-spaces, of transmission problems set in an unbounded domains (Q426619)
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scientific article; zbMATH DE number 6045322
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Resolution, in \(L^{p}\)-spaces, of transmission problems set in an unbounded domains |
scientific article; zbMATH DE number 6045322 |
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Resolution, in \(L^{p}\)-spaces, of transmission problems set in an unbounded domains (English)
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11 June 2012
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The author studies the well-posedness in \(L^p\)-spaces for some abstract transmission problem set in an unbounded domain of the positive half-line. The linear part is assumed to generate an analytic semigroup in a UMD Banach space. The existence of a strict solution is obtained by using the Dore-Venni's theorem. For illustration an example is provided.
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transmission problem
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this layers
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UMD spaces
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bounded imaginary powers
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analytic semigroups
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