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Estimates in \(L_p\) for solutions of SPDEs with coefficients in Morrey classes - MaRDI portal

Estimates in \(L_p\) for solutions of SPDEs with coefficients in Morrey classes (Q6084467)

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scientific article; zbMATH DE number 7772834
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Estimates in \(L_p\) for solutions of SPDEs with coefficients in Morrey classes
scientific article; zbMATH DE number 7772834

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    Estimates in \(L_p\) for solutions of SPDEs with coefficients in Morrey classes (English)
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    30 November 2023
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    For solutions of a certain class of SPDEs in divergence form, this work presents some estimates of their \(L^p\)-norms and the \(L^p\)-norms of their first-order derivatives. The main novelty is that the low-order coefficients are supposed to belong to certain Morrey classes instead of \(L^p\)-spaces. The results are new even if there are no stochastic terms in the equation.
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    stochastic PDEs
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    Morrey classes
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    singular coefficients
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