Properties of integrals with respect to a general stochastic measure in a stochastic heat equation

DOI10.1090/S0094-9000-2011-00830-7zbMath1232.60043OpenAlexW2069420228MaRDI QIDQ3114551

Vadym M. Radchenko

Publication date: 19 February 2012

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0094-9000-2011-00830-7

Mathematics Subject Classification ID

Stochastic integrals (60H05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (5)

Approximations for a solution to stochastic heat equation with stable noise ⋮ Comparison theorem for solutions of parabolic stochastic equations with an absorber ⋮ Stochastic Partial Differential Equations Driven by General Stochastic Measures ⋮ Wave equation with a coloured stable noise ⋮ Cable equation with a general stochastic measure

Cites Work

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• Classes of solutions of linear systems of partial differential equations of parabolic type
• Two results on continuity and boundedness of stochastic convolutions
• Mild solution of the heat equation with a general stochastic measure
• Sample Functions of Stochastic Measures and Besov Spaces
• Almost layer finiteness of a periodic group without involutions
• Heat equation and wave equation with general stochastic measures
• Inequalities for the moments of Wiener integrals with respect to a fractional Brownian motion

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