Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/72835
Type: Artigo
Title: Well-posedness of first order semilinear PDEs by stochastic perturbation
Author: Olivera, Christian
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.
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.
Subject: Equações diferenciais parciais estocásticas
Perturbação (Matemática)
Análise estocástica
Country: Reino Unido
Editor: Elsevier
Citation: Nonlinear Analysis-theory Methods & Applications. Pergamon-elsevier Science Ltd, v. 96, n. 211, n. 215, 2014.
Rights: fechado
fechado
Identifier DOI: 10.1016/j.na.2013.10.022
Address: https://www.sciencedirect.com/science/article/pii/S0362546X13003660
Date Issue: 2014
Appears in Collections:IMECC - Artigos e Outros Documentos

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