English

The Obstacle Problem for Quasilinear Stochastic PDEs with Degenerate Operator

Probability 2018-04-25 v1

Abstract

We prove the existence and uniqueness of solution of quasilinear stochastic partial differential equations with obstacle (OSPDEs in short) in degenerate case. Using De Giorgi's iteration, we deduce the LpL^p-estimates for the time-space uniform norm of weak solutions.

Keywords

Cite

@article{arxiv.1804.09050,
  title  = {The Obstacle Problem for Quasilinear Stochastic PDEs with Degenerate Operator},
  author = {Xue Yang and Jing Zhang},
  journal= {arXiv preprint arXiv:1804.09050},
  year   = {2018}
}

Comments

arXiv admin note: text overlap with arXiv:1202.3296