Titlebook: Stochastic Analysis and Related Topics; A Festschrift in Hon Fabrice Baudoin,Jonathon Peterson Conference proceedings 2017 Springer Interna

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Progress in Probabilityhttp://image.papertrans.cn/s/image/877829.jpg

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Multiplicative Functional for the Heat Equation on Manifolds with Boundary,The multiplicative functional for the heat equation on .-forms with absolute boundary condition is constructed and a probabilistic representation of the solution is obtained. As an application, we prove a heat kernel domination that was previously discussed by Donnelly and Li, and Shigekawa.

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On A Priori Estimates for Rough PDEs,In this note, we present a new and simple method which allows to get a priori bounds on rough partial differential equations. The technique is based on a weak formulation of the equation and a rough version of Gronwall’s lemma. The method is presented on a simple linear example, but might be generalized to a wide number of situations.

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Fabrice Baudoin,Jonathon PetersonHonors a scientist‘s work at the interface of probability, harmonic analysis, and spectral theory.Covers a wide spectrum of themes in probability

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