English

Temporal and spatial regularity of solutions to stochastic Volterra equations of convolution type

Probability 2012-12-07 v1

Abstract

In the paper regularity of solutions to stochastic Volterra equations in a separable Hilbert space is studied. Sufficient conditions for the temporal and spatial regularity of stochastic convolutions corresponding to the equations under consideration are provided. The results obtained generalize some well-known regularity results for solutions to stochastic differential equations. The paper is a continuation of previous author's papers concerning stochastic Volterra equations.

Keywords

Cite

@article{arxiv.1212.1257,
  title  = {Temporal and spatial regularity of solutions to stochastic Volterra equations of convolution type},
  author = {Anna Karczewska},
  journal= {arXiv preprint arXiv:1212.1257},
  year   = {2012}
}