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Once again on evolution equations with monotone operators in Hilbert spaces and applications

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arxiv 2409.18242 v1 pith:MPYR2IDF submitted 2024-09-26 math.PR

István Gyöngy , Nicolai V. Krylov This is my paper · ORCID
classification math.PR
keywords equationsevolutionlinearorderstochasticapplicationscoefficientsdifferential
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abstract

Existence, uniqueness and stability of the solutions of linear stochastic evolution equations are investigated. The results obtained are used to prove theorems on solvability of linear second order stochastic partial differential equations in $L_{p}$-setting with singular lower order coefficients.

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Cited by 1 Pith paper

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  1. Nonlinear SPDEs and Maximal Regularity: An Extended Survey

    math.PR 2025-01 conditional novelty 4.0 of 10

    A survey with new extensions of the maximal-regularity framework for nonlinear SPDEs, yielding local well-posedness, blow-up criteria, and instantaneous regularization in critical spaces.

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