Uniqueness in law for parabolic SPDEs and infinite-dimensional SDEs

Details Uniqueness in law for parabolic SPDEs and infinite-dimensional SDEs Uniqueness in law for parabolic SPDEs and infinite-dimensional SDEs

2011-02-25

arxiv.org/abs/1102.5257v1

Mathematics

Probability

Scientific paper

We prove uniqueness in law for a class of parabolic stochastic partial differential equations in an interval driven by a functional A(u) of the temperature u times a space-time white noise. The functional A(u) is H\"older continuous in u of order greater than 1/2. Our method involves looking at an associated system of infinite-dimensional stochastic differential equations and we obtain a uniqueness result for such systems.

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