Regularity of the mild solution of a parabolic equation with stochastic measure

DOI10.1007/s11253-017-1344-4zbMath1499.35743OpenAlexW2741393401MaRDI QIDQ1729561

I. M. Bodnarchuk

Publication date: 27 February 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-017-1344-4

zbMATH Keywords

existenceuniquenessHölder regularitystochastic parabolic differential equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (8)

Averaging principle for the one-dimensional parabolic equation driven by stochastic measure ⋮ The Burgers equation driven by a stochastic measure ⋮ Averaging principle for the heat equation driven by a general stochastic measure ⋮ Averaging principle for a stochastic cable equation ⋮ Wave equation in the plane driven by a general stochastic measure ⋮ Approximation of the solution to the parabolic equation driven by stochastic measure ⋮ Mild solution of the parabolic equation driven by a $\sigma $-finite stochastic measure ⋮ Asymptotic properties of the parabolic equation driven by stochastic measure

Cites Work

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• Evolution Equations Driven by General Stochastic Measures in Hilbert Space
• On the discretization in time of parabolic stochastic partial differential equations
• Linear second-order partial differential equations of the parabolic type
• Stochastic Equations in Infinite Dimensions

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