English

$L^{p}$ Theory for Super-parabolic Backward Stochastic Partial Differential Equations in the Whole Space

Probability 2010-06-08 v1

Abstract

This paper is concerned with semi-linear backward stochastic partial differential equations (BSPDEs for short) of super-parabolic type. An LpL^p-theory is given for the Cauchy problem of BSPDEs, separately for the case of p(1,2]p\in (1,2] and for the case of p(2,)p\in (2, \infty). A comparison theorem is also addressed.

Keywords

Cite

@article{arxiv.1006.1171,
  title  = {$L^{p}$ Theory for Super-parabolic Backward Stochastic Partial Differential Equations in the Whole Space},
  author = {Kai Du and Jinniao Qiu and Shanjian Tang},
  journal= {arXiv preprint arXiv:1006.1171},
  year   = {2010}
}