Regularity of solutions to stochastic Volterra equations with infinite delay

Details Regularity of solutions to stochastic Volterra equations with infinite delay Regularity of solutions to stochastic Volterra equations with infinite delay

2005-03-25

arxiv.org/abs/math/0503595v2

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

Mathematics

Probability

10 pages, corected and revised version. Proc. AMS (in print)

Scientific paper

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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