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Generation of analytic semigroups in the \(L^ p\) topology by elliptic operators in \({\mathbb{R}}^ n\) - MaRDI portal

Generation of analytic semigroups in the \(L^ p\) topology by elliptic operators in \({\mathbb{R}}^ n\) (Q1118750)

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scientific article; zbMATH DE number 4095989
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English
Generation of analytic semigroups in the \(L^ p\) topology by elliptic operators in \({\mathbb{R}}^ n\)
scientific article; zbMATH DE number 4095989

    Statements

    Generation of analytic semigroups in the \(L^ p\) topology by elliptic operators in \({\mathbb{R}}^ n\) (English)
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    1988
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    The paper deals with some spectral properties of a strongly elliptic differential operator with unbounded coefficients. Generation of analytic semigroups in \(L^ p({\mathbb{R}}^ n)\) is involved and an application to a Cauchy problem of parabolic type is given.
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    spectral properties
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    strongly elliptic
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    unbounded coefficients
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    analytic semigroups
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    Cauchy problem
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