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Initial value problems for heat equations generated by strongly elliptic \((\rho,\Lambda)\)-pseudo-differential operators on \(\mathbb{R}^n\) - MaRDI portal

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Initial value problems for heat equations generated by strongly elliptic \((\rho,\Lambda)\)-pseudo-differential operators on \(\mathbb{R}^n\) (Q2080904)

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scientific article; zbMATH DE number 7599844
Language Label Description Also known as
English
Initial value problems for heat equations generated by strongly elliptic \((\rho,\Lambda)\)-pseudo-differential operators on \(\mathbb{R}^n\)
scientific article; zbMATH DE number 7599844

    Statements

    Initial value problems for heat equations generated by strongly elliptic \((\rho,\Lambda)\)-pseudo-differential operators on \(\mathbb{R}^n\) (English)
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    11 October 2022
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    pseudo-differential operators
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    symbols in \(S^m_{\rho, \Lambda}\)
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    \(L^p\)-boundedness
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    \((\rho,\Lambda)\)-ellipticity
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    strong \((\rho,\Lambda)\)-ellipticity
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    Gårding's inequality
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    Poisson's equations
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    weak solutions
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    strong solutions
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    strongly continuous one-parameter semigroups
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    Hille-Yosida-Phillips theorem
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    initial value problems
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    heat equations
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    solutions
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    mild solutions
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    Identifiers