Probabilistic representation and local existence for the quasi-linear partial integro-differential equations with Sobolev initial value

Jinxia Wang

Statistics & Probability Letters, 2017, vol. 120, issue C, 69-80

Abstract: In this paper, we establish the stochastic representation for quasi-linear partial integro-differential equations. Further, by using it, we prove the existence of local smooth solutions in Sobolev spaces for a class of quasi-linear partial integro-differential equations with smooth coefficients.

Keywords: Stochastic representation; Local existence; Sobolev space; Quasi-linear partial integro-differential equations (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1016/j.spl.2016.09.009

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