| Full text | |
| Author(s): |
Olivera, Christian
[1]
Total Authors: 1
|
| Affiliation: | [1] Univ Estadual Campinas, Dept Matemat, BR-13081970 Campinas, SP - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS; v. 96, p. 211-215, FEB 2014. |
| Web of Science Citations: | 2 |
| 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. (AU) | |
| FAPESP's process: | 12/18739-0 - Generalized functions and stochastic equations |
| Grantee: | Christian Horacio Olivera |
| Support Opportunities: | Regular Research Grants |