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<p>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 <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(L_{p}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>L</mi> <mi>p</mi> </msub> </math></EquationSource> </InlineEquation>-setting with singular lower-order coefficients.</p>

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

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年8月29日

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  • István Gyöngy,
  • Nicolai V. Krylov

摘要

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 \(L_{p}\) L p -setting with singular lower-order coefficients.