Artículos de revistas
Well-posedness of first order semilinear PDEs by stochastic perturbation
Registro en:
Nonlinear Analysis-theory Methods & Applications. Pergamon-elsevier Science Ltd, v. 96, n. 211, n. 215, 2014.
0362-546X
1873-5215
WOS:000329114000015
10.1016/j.na.2013.10.022
Autor
Olivera, C
Institución
Resumen
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) 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. 96 211 215 Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) FAPESP [2012/18739-0]