[01389] Exponential Behavior of Nonlinear Stochastic Partial Functional Equations Driven by Poisson Jumps and Rosenblatt Process
Session Time & Room : 5D (Aug.25, 15:30-17:10) @G702
Type : Contributed Talk
Abstract : In this paper, we discuss the asymptotic behavior of mild solutions of nonlinear stochastic partial functional
equations driven by Poisson jumps and the Rosenblatt process in a Hilbert space. The Rosenblatt process is the simplest non-Gaussian Hermite process. It has continuous non-differentiable paths and is self-similar with stationary increments. It is Murray Rosenblatt who first conceived of it. The results are obtained by using the Banach
fixed point theorem and the theory of resolvent operator developed by Grimmer. Finally, an example is provided
to illustrate the effectiveness of the obtained results.
