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Strict solutions to stochastic semilinear evolution equations in M-type 2 Banach spaces - MaRDI portal

Strict solutions to stochastic semilinear evolution equations in M-type 2 Banach spaces (Q2032125)

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scientific article; zbMATH DE number 7359972
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Strict solutions to stochastic semilinear evolution equations in M-type 2 Banach spaces
scientific article; zbMATH DE number 7359972

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    Strict solutions to stochastic semilinear evolution equations in M-type 2 Banach spaces (English)
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    16 June 2021
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    By combining Yoshida approximation with semigroup analysis and a fixed point theorem, the existence and uniqueness is proved for a class of semilinear evolution equations in Banach spaces of M-type 2. Moreover, the regularity is characterized by using Kolmogorov continuity criteria. The main results are applied to specific SPDEs.
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    stochastic evolution equations
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    M-type 2 Banach spaces
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    strict and mild solutions
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    analytic semigroups
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