English

It\^o's formula for the $L_{p}$-norm of stochastic $W^{1}_{p}$-valued processes

Probability 2008-06-11 v1

Abstract

We prove It\^o's formula for the LpL_{p}-norm of a stochastic Wp1W^{1}_{p}-valued processes appearing in the theory of SPDEs in divergence form.

Keywords

Cite

@article{arxiv.0806.1557,
  title  = {It\^o's formula for the $L_{p}$-norm of stochastic $W^{1}_{p}$-valued processes},
  author = {N. V. Krylov},
  journal= {arXiv preprint arXiv:0806.1557},
  year   = {2008}
}

Comments

16 pages