Summary
We establish connections between positive solutions of one class of nonlinear partial differential equations and hitting probabilities and additive functionals of superdiffusion processes. As an application, we improve results on superprocesses by using the recent progress in the theory of removable singularities for differential equations.
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Partially supported by National Science Foundation Grant DMS-8802667
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Dynkin, E.B. A probabilistic approach to one class of nonlinear differential equations. Probab. Th. Rel. Fields 89, 89–115 (1991). https://doi.org/10.1007/BF01225827
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DOI: https://doi.org/10.1007/BF01225827