English

On divergence form SPDEs with VMO coefficients in a half space

Probability 2008-09-02 v2 Analysis of PDEs

Abstract

We extend several known results on solvability in the Sobolev spaces Wp1W^{1}_{p}, p[2,)p\in[2,\infty), of SPDEs in divergence form in \bR+d\bR^{d}_{+} to equations having coefficients which are discontinuous in the space variable.

Keywords

Cite

@article{arxiv.0806.1963,
  title  = {On divergence form SPDEs with VMO coefficients in a half space},
  author = {N. V. Krylov},
  journal= {arXiv preprint arXiv:0806.1963},
  year   = {2008}
}

Comments

23 pages, a few errors are corrected

R2 v1 2026-06-21T10:49:45.869Z