Analyticity of absorption semigroups (Q1891650)
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scientific article; zbMATH DE number 763797
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analyticity of absorption semigroups |
scientific article; zbMATH DE number 763797 |
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Analyticity of absorption semigroups (English)
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14 June 1995
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If \(U\) is an analytic positive \(C_0\) semigroup on \(L^p(\Omega)\) generated by \(T\) and \(V\) is a measurable function on \(\Omega\), then by Voigt's perturbation theory we can construct \(U_V(t)\), the positive \(C_0\) semigroup generated (formally) by \(T-V\). The author gives conditions under which \(U_V\) has an analytic extension, with application (among others) to the absorption semigroup generated by the heat operator.
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analytic positive \(C_ 0\) semigroup
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Voigt's perturbation theory
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analytic extension
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absorption semigroup generated by the heat operator
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