Integration by Parts formula for SPDEs with Multiplicative Noise and its   Applications
  By using the Malliavin calculus, the Driver-type integration by parts formula is established for the semigroup associated to to SPDEs with Multiplicative Noise. Moreover, estimates on the density of heat kernel w.r.t. Lebesgue measure are obtained in finite dimension case. 
Xing Huang and Shao-Qin Zhang and Li-Xia Liu
math.PR