English

Stochastic heat equations driven by L\'evy processes

Analysis of PDEs 2012-05-23 v1

Abstract

We study stochastic heat equations driven by a class of L\'evy processes: du = \De u dt + g dX_t \quad in \quad \bR^d_T, \qquad u(0,x)= 0 \quad in \quad x \in \bR^d. We prove the corresponding estimate \normu\bHpk(\RT)c(p,T)\normg\bBpk2p(\RT)\norm{u}_{\bH_p^k(\RT)} \le c(p,T) \norm{g}_{\bB_p^{k-\frac2p}(\RT)} for 2p<2\le p<\infty and k\bRk \in \bR.

Keywords

Cite

@article{arxiv.1205.4812,
  title  = {Stochastic heat equations driven by L\'evy processes},
  author = {Tongkeun Chang and Minsuk Yang},
  journal= {arXiv preprint arXiv:1205.4812},
  year   = {2012}
}
R2 v1 2026-06-21T21:07:42.972Z