Approximate Controllability of Stochastic Hemivariational Control problem in Hilbert spaces
Year: 2025
Type: preprint
Abstract: In this paper, we discuss the approximate controllability for control systems governed by stochastic evolution hemivariational inequalities in Hilbert spaces. The interest in studying this type of equation comes from its application in some physical models like the thermostat temperature control or the diffusion through semi-permeable walls. Firstly, we introduce the concept of weak solutions for hemivariational inequalities. Then, the controllability is formulated by utilizing stochastic analysis techniques and properties of Clarke subdifferential operators, as well as applying multivalued fixed point theorem. Finally, we conclude this article by an application in stochastic heat propagation problem.
Source: arXiv (Cornell University)
Authors: Kumbhakar, Bholanath, Deeksha, Pandey, Dwijendra Narain
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6910694036
Cites:
Cited by:
Related to: