English

On the solvability of degenerate stochastic partial differential equations in Sobolev spaces

Analysis of PDEs 2019-03-14 v1

Abstract

Systems of parabolic, possibly degenerate parabolic SPDEs are considered. Existence and uniqueness are established in Sobolev spaces. Similar results are obtained for a class of equations generalizing the deterministic first order symmetric hyperbolic systems.

Keywords

Cite

@article{arxiv.1404.4401,
  title  = {On the solvability of degenerate stochastic partial differential equations in Sobolev spaces},
  author = {Máté Gerencsér and István Gyöngy and Nicolai Krylov},
  journal= {arXiv preprint arXiv:1404.4401},
  year   = {2019}
}

Comments

26 pages