Pathwise uniqueness for stochastic heat equations with Hölder continuous coefficients: the white noise case

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168138We prove pathwise uniqueness for solutions of parabolic stochastic pde's with multiplicative white noise if the coefficient is Hölder continuous of index $γ>3/4$. The method of proof is an infinite-dimensional version of the Yamada-Watanabe argument for ordinary stochastic differential equations.77 pagesProbability60H15Pathwise uniqueness for stochastic heat equations with Hölder continuous coefficients: the white noise casetext