Maximal regularity for perturbed integral equations on periodic Lebesgue spaces (Q950472)
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scientific article; zbMATH DE number 5355974
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximal regularity for perturbed integral equations on periodic Lebesgue spaces |
scientific article; zbMATH DE number 5355974 |
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Maximal regularity for perturbed integral equations on periodic Lebesgue spaces (English)
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22 October 2008
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Based on operator-valued Fourier multipliers the authors characterize the maximal regularity of periodic solutions for an additive perturbed integral equation with infinite delay in vector-valued Lebesgue spaces. The resonance, characterizing the existence of solutions in terms of a compatibility condition on the forcing term is also studied.
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additive perturbation
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maximal regularity
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\(R\)-boundedness
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Fourier multipliers
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integral equations
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periodic solutions
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infinite delay
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