English

The obstacle problem for stochastic porous media equations

Probability 2021-11-23 v1 Analysis of PDEs

Abstract

We prove the existence and uniqueness of non-negative entropy solutions of the obstacle problem for stochastic porous media equations. The core of the method is to combine the entropy formulation with the penalization method.

Cite

@article{arxiv.2111.10736,
  title  = {The obstacle problem for stochastic porous media equations},
  author = {Ruoyang Liu and Shanjian Tang},
  journal= {arXiv preprint arXiv:2111.10736},
  year   = {2021}
}

Comments

37 pages

R2 v1 2026-06-24T07:46:10.651Z