Evolution Equations Driven by General Stochastic Measures in Hilbert Space

DOI10.1137/S0040585X97T987119zbMath1315.60004OpenAlexW600586039MaRDI QIDQ5255341

Vadym M. Radchenko

Publication date: 15 June 2015

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97t987119

zbMATH Keywords

mild solutionstochastic evolution equationstochastic measurestochastic integration in Hilbert space

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Stochastic integrals (60H05) Probability theory on linear topological spaces (60B11)

Related Items (16)

Averaging principle for the one-dimensional parabolic equation driven by stochastic measure ⋮ Wave equation with a stochastic measure ⋮ Heat equation in a multidimensional domain with a general stochastic measure ⋮ Averaging principle for the wave equation driven by a stochastic measure ⋮ The wave equation in the three-dimensional space driven by a general stochastic measure ⋮ Averaging principle for the heat equation driven by a general stochastic measure ⋮ Regularity of the mild solution of a parabolic equation with stochastic measure ⋮ Approximation of solution of the cable equation driven by a stochastic measure ⋮ Averaging principle for a stochastic cable equation ⋮ Fourier Series Expansion of Stochastic Measures ⋮ Approximation of solutions of the wave equation driven by a stochastic measure ⋮ Wave equation in the plane driven by a general stochastic measure ⋮ Approximation of the solution to the parabolic equation driven by stochastic measure ⋮ Approximation of solutions of the stochastic wave equation by using the Fourier series ⋮ Mild solution of the parabolic equation driven by a $\sigma $-finite stochastic measure ⋮ Asymptotic properties of the parabolic equation driven by stochastic measure

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