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Type: Artigo de periódico
Title: Well-posedness of first order semilinear PDEs by stochastic perturbation
Author: Olivera, C
Abstract: We show that first order semilinear PDEs by stochastic perturbation are well-posed for globally Holder continuous and bounded vector field, with an integrability condition on the divergence. This result extends the linear case presented in Flandoli et al. (2010). The proof is based on the stochastic characteristics method and a version of the commuting Lemma. (C) 2013 Elsevier Ltd. All rights reserved.
Subject: Stochastic characteristic method
First order stochastic partial differential equations
Stochastic perturbation
Commuting lemma
Country: Inglaterra
Editor: Pergamon-elsevier Science Ltd
Rights: fechado
Identifier DOI: 10.1016/
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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