| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Pisa, Dipartimento Matemat, Pisa - Italy
[2] Tech Univ Berlin, Berlin - Germany
[3] Univ Estadual Campinas, Dept Matemat, Campinas, SP - Brazil
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 473, n. 1, p. 27-52, MAY 1 2019. |
| Web of Science Citations: | 1 |
| Abstract | |
In this paper we consider a system of Brownian particles with proliferation whose rate depends on the empirical measure. The dependence is more local than a mean field one and has been called moderate interaction by Oelschlager {[}16], {[}17]. We prove that the empirical process converges, uniformly in the space variable, to the solution of the Fisher-Kolmogorov-Petrowskii-Piskunov equation. We use a semigroup approach which is new in the framework of these systems and is inspired by some literature on stochastic partial differential equations. (C) 2018 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 15/04723-2 - Topics in stochastic partial diferential equations |
| Grantee: | Christian Horacio Olivera |
| Support Opportunities: | Regular Research Grants |