English

H\"ormander-Type Theorem for It\^o Processes and Related Backward SPDEs

Analysis of PDEs 2015-03-23 v2

Abstract

A H\"ormander-type theorem is established for It\^o processes and related backward stochastic partial differential equations (BSPDEs). A short self-contained proof is also provided for the L2L^2-theory of linear, possibly degenerate BSPDEs, in which new gradient estimates are obtained.

Keywords

Cite

@article{arxiv.1412.5481,
  title  = {H\"ormander-Type Theorem for It\^o Processes and Related Backward SPDEs},
  author = {Jinniao Qiu},
  journal= {arXiv preprint arXiv:1412.5481},
  year   = {2015}
}

Comments

15 pages

R2 v1 2026-06-22T07:35:20.341Z