\(L^p\)-maximal regularity of degenerate delay equations with periodic conditions (Q2446081)
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| Language | Label | Description | Also known as |
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| English | \(L^p\)-maximal regularity of degenerate delay equations with periodic conditions |
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\(L^p\)-maximal regularity of degenerate delay equations with periodic conditions (English)
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15 April 2014
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In this paper, the authors prove maximal regularity in \(L^p(X)\) spaces for nonhomogeneous abstract delay equations. They give necessary and sufficient conditions when the Banach space \(X\) is a UMD space and \(1<p<\infty\). The paper extends the contributions by Hale, Lizama, Bu, Fang and Arendt. The main tools of proof are operator-valued Fourier multiplier results established by Arendt and Bu.
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maximal regularity
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\(L^p\) spaces
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degenerate equations
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delay equations
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