Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024563 | Nonlinear Analysis: Theory, Methods & Applications | 2017 | 25 Pages |
Abstract
In this paper, we show that the minimal solution of a backward stochastic differential equation gives a probabilistic representation of the minimal viscosity solution of an integro-partial differential equation both with a singular terminal condition. Singularity means that at the final time, the value of the solution can be equal to infinity. Different types of regularity of this viscosity solution are investigated: Sobolev, Hölder or strong regularity.
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Authors
Alexandre Popier,