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Regularity of solutions to stochastic Volterra equations with infinite delay

Anna Karczewska·Carlos Lizama
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Abstract

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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Anna Karczewska, Carlos Lizama. 2005-12-01. Regularity of solutions to stochastic Volterra equations with infinite delay. https://arxiv.org/abs/math/0503595

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