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Type: Artigo de periódico
Title: Lp-solutions Of The Stochastic Transport Equation
Author: Catuogno P.
Olivera C.
Abstract: We consider the stochastic transport linear equation and we prove existence and uniqueness of weak Lp-solutions. Moreover, we obtain a representation of the general solution and a Wong-Zakai principle for this equation. We make only minimal assumptions, similar to the deterministic problem. The proof is supported on the generalized Itô-Ventzel-Kunita formula and the theory of Lions-DiPerna on transport linear equation. © de Gruyter 2013.
Rights: fechado
Identifier DOI: 10.1515/rose-2013-0007
Date Issue: 2013
Appears in Collections:Unicamp - Artigos e Outros Documentos

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