Journal
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS
Volume 10, Issue 1, Pages 90-125Publisher
SPRINGER
DOI: 10.1007/s40072-021-00194-x
Keywords
Stochastic PDEs; Obstacle problem; Wiener process; Lewy– Stampacchia’ s inequality
Categories
Funding
- IFCAM: Indo-French Center in Applied Mathematics [UMI CNRS 3494]
Ask authors/readers for more resources
This work investigates a stochastic obstacle problem governed by a T-monotone operator, random force, and a multiplicative stochastic reaction in Sobolev spaces. It establishes the existence and uniqueness of the variational solution, and proves Lewy-Stampacchia's inequalities associated with the problem by perturbing the stochastic reaction and penalizing the constraint.
The aim of this work is to study a stochastic obstacle problem governed by a T-monotone operator, a random force and a multiplicative stochastic reaction in the frame of Sobolev spaces. After proving a result of existence and uniqueness of the variational solution, by using an ad hoc perturbation of the stochastic reaction and a penalization of the constraint, we prove Lewy-Stampacchia's inequalities associated with the problem finally.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available