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Type: Artigo
Title: Regularization by noise in one-dimensional continuity equation
Author: Olivera, Christian
Abstract: A linear stochastic continuity equation with non-regular coefficients is considered. We prove existence and uniqueness of strong solution, in the probabilistic sense, to the Cauchy problem when the vector field has low regularity, in which the classical DiPerna-Lions-Ambrosio theory of uniqueness of distributional solutions does not apply. We solve partially the open problem that is the case when the vector-field has random dependence. In addition, we prove a stability result for the solutions
Subject: Equações diferenciais estocásticas
Country: Países Baixos
Editor: Springer
Rights: Fechado
Identifier DOI: 10.1007/s11118-018-9700-z
Date Issue: 2019
Appears in Collections:IMECC - Artigos e Outros Documentos

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