Pathwise uniqueness for parabolic stochastic pde's
- Date: 04/05/2006
Ed Perkins (University of British Columbia)
University of British Columbia
Consider the SPDE: du/dt=u''+g(u)dW/dtdx where dW/dtdx is space-time white noise and g is Holder continuous of index h. It is shown that if 2h^3-h > 3/4 then pathwise uniqueness holds. The proof is an infinite dimensional extension of the Yamada-Watanabe Theorem. This work is joint with Leonid Mytnik.