Regularity of solutions to stochastic Volterra equations with infinite delay
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🧮 math.PR
math.OC
keywords
stochasticequationsdelayinfiniteregularitysolutionsvolterraanalysis
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In this article we give necessary and sufficient conditions providing regularity of solutions to stochastic Volterra equations with infinite delay on a $d$-dimensional torus. The harmonic analysis techniques and stochastic integration in function spaces are used. The work applies to both the stochastic heat and wave equations.
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