| Full text | |
| Author(s): |
Olivera, Christian
Total Authors: 1
|
| Document type: | Journal article |
| Source: | POTENTIAL ANALYSIS; v. 51, n. 1, p. 23-35, JUL 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
A linear stochastic continuity equation with non-regular coefficients is considered. We prove existence and uniqueness of strong solution, in the probabilistic sense, to the Cauchy problem when the vector field has low regularity, in which the classical DiPerna-Lions-Ambrosio theory of uniqueness of distributional solutions does not apply. We solve partially the open problem that is the case when the vector-field has random dependence. In addition, we prove a stability result for the solutions. (AU) | |
| FAPESP's process: | 17/17670-0 - Stochastic Partial Differential Equations and Particle Systems |
| Grantee: | Christian Horacio Olivera |
| Support Opportunities: | Regular Research Grants |