Solutions of second-order degenerate equations with infinite delay in Banach spaces (Q2214404)
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scientific article
| Language | Label | Description | Also known as |
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| English | Solutions of second-order degenerate equations with infinite delay in Banach spaces |
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Solutions of second-order degenerate equations with infinite delay in Banach spaces (English)
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8 December 2020
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The aim of this paper is to study the well-posedness for some second-order degenerate equations with infinite delay with periodic boundary conditions. The operator coefficients are assumed to be closed. The authors use the Fourier-multiplier in UMD spaces to prove the well-posedness in Bessov spaces. Application is provided for some degenerate reaction-diffusion equation with infinite delay.
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Fourier multiplier
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degenerate equation with infinite delay
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well-posedness
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Lebesgue-Bochner spaces
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Besov spaces
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