| Texto completo | |
| Autor(es): |
Olivera, Christian
Número total de Autores: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | POTENTIAL ANALYSIS; v. 51, n. 1, p. 23-35, JUL 2019. |
| Citações Web of Science: | 0 |
| Resumo | |
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) | |
| Processo FAPESP: | 17/17670-0 - Equações Diferenciais Parciais Estocásticas e Sistemas de Partículas. |
| Beneficiário: | Christian Horacio Olivera |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |