paper

Regularity of solutions to stochastic Volterra equations with infinite delay

arXiv:math/0503595

Abstract

In this article we give necessary and sufficient conditions providing regularity of solutions to stochastic Volterra equations with infinite delay on a -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.

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

Regularity of solutions to stochastic Volterra equations with infinite delay · wovepaper