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

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 $$L_{p}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>L</mml:mi> <mml:mi>p</mml:mi> </mml:msub> </mml:math> -setting with singular lower-order coefficients.

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Publication Details

Journal
Stochastic Partial Differential Equations Analysis and Computations
Published
2025-08-29
DOI
https://doi.org/10.1007/s40072-025-00385-w
Citations
2
Primary Topic
Advanced Mathematical Modeling in Engineering
Type
article
Field-Weighted Citation Impact
3.01
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article

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

Н. В. Крылов, István Gyöngy
2 citations
Stochastic Partial Differential Equations Analysis and Computations
Advanced Mathematical Modeling in Engineering
3.01
article

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

Н. В. Крылов, István Gyöngy
article en
2 citations

Abstract

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 $$L_{p}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>L</mml:mi> <mml:mi>p</mml:mi> </mml:msub> </mml:math> -setting with singular lower-order coefficients.

Stochastic Partial Differential Equations Analysis and Computations
University of Minnesota (US), Maxwell Institute for Mathematical Sciences (GB)
Openalex Percentile: Top 7%
Advanced Mathematical Modeling in Engineering
3.01
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