Equations with Random Gaussian Operators with Unbounded Mean Value

  • M. A. Vlasenko


We consider an equation in a Hilbert space with a random operator represented as a sum of a deterministic, closed, densely defined operator and a Gaussian strong random operator. We represent a solution of an equation with random right-hand side in terms of stochastic derivatives of solutions of an equation with deterministic right-hand side. We consider applications of this representation to the anticipating Cauchy problem for a stochastic partial differential equation.
How to Cite
Vlasenko, M. A. “Equations With Random Gaussian Operators With Unbounded Mean Value”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 54, no. 2, Feb. 2002, pp. 170-7, https://umj.imath.kiev.ua/index.php/umj/article/view/4052.
Research articles