Regularity of solutions to stochastic Volterra equations with infinite delay

Karczewska, Anna; Lizama, Carlos

doi:10.1090/S0002-9939-06-08487-5

Regularity of solutions to stochastic Volterra equations with infinite delay
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by Anna Karczewska and Carlos Lizama

Proc. Amer. Math. Soc. 135 (2007), 531-540

DOI: https://doi.org/10.1090/S0002-9939-06-08487-5

Published electronically: August 2, 2006

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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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