English

Model problem for integro-differential Zakai equation with discontinuous observation processes in H\"older spaces

Probability 2010-08-06 v1

Abstract

The existence and uniqueness of solutions of the Cauchy problem to a a stochastic parabolic integro-differential equation is investigated. The equattion considered arises in nonlinear filtering problem with a jump signal process and jump observation.

Keywords

Cite

@article{arxiv.1008.1025,
  title  = {Model problem for integro-differential Zakai equation with discontinuous observation processes in H\"older spaces},
  author = {R. Mikulevicius and H. Pragarauskas},
  journal= {arXiv preprint arXiv:1008.1025},
  year   = {2010}
}