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arxiv: 1602.06109 · v8 · pith:XRVNHTWGnew · submitted 2016-02-19 · 🧮 math.AP

Solvability of Dirichlet problem with Integro-differential Operator

classification 🧮 math.AP
keywords dirichletintegro-differentialoperatorproblemsolvabilityassociatedclassconstruction
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This paper studies the solvability of a class of Dirichlet problem associated with non-linear integro-differential operator. The main ingredient is the probabilistic construction of continuous supersolution via the identification of the continuity set of the exit time operators under Skorohod topology.

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