Time:16:00-17:00, Friday, July 12, 2024
ZOOM ID:961 7094 5617
PASSCODE:028771
Host:Zhennan Zhou, ITS
Speaker:Youssef Benkabdi, Cadi Ayyad University
Title:Contribution to the study of stochastic partial differential equations with delays, current interest, and future plans
Abstract:This talk aims, in the first place, to present my contribution to the theory of SPDEs with delays by outlining my published results on the existence, uniqueness, stability of mild solutions, and controllability of different classes of SFDEs perturbed by fractional Brownian motion (in the Gaussian case) or Rosenblatt process (in the non-Gaussian case), with or without Poisson jumps. The methods and techniques used to establish these results will also be discussed. In the second place, my current interest in approximate controllability will be presented. Finally, some possible future work will be outlined.