On the Uniqueness Problem for Catalytic Branching Networks and Other Singular Diffusions
نویسنده
چکیده
Weak uniqueness is established for the martingale problem associated to a family of catalytic branching networks. This martingale problem corresponds to a stochastic differential equation with a degenerate Hölder continuous diffusion matrix. Our approach uses the semigroup perturbation method of Stroock and Varadhan and a modification of a Banach space of weighted Hölder continuous functions introduced by Bass and Perkins.
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تاریخ انتشار 2005