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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Initial-boundary value problem for stochastic transport equations

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Author(s):
Neves, Wladimir [1] ; Olivera, Christian [2]
Total Authors: 2
Affiliation:
[1] Univ Fed Rio de Janeiro, Inst Matemat, BR-21945970 Rio De Janeiro - Brazil
[2] Univ Estadual Campinas, Dept Matemat, BR-13081970 Campinas, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS; v. 9, n. 3, p. 674-701, SEP 2021.
Web of Science Citations: 0
Abstract

This paper concerns the Dirichlet initial-boundary value problem for stochastic transport equations with non-regular coefficients. First, the existence and uniqueness of the strong stochastic traces is proved. The existence of weak solutions relies on the strong stochastic traces, and also on the passage from the Stratonovich into Ito's formulation for bounded domains. Moreover, the uniqueness is established without the divergence of the drift vector field bounded from below. (AU)

FAPESP's process: 15/07278-0 - Stochastic dynamics: analytical and geometrical aspects with applications
Grantee:Paulo Regis Caron Ruffino
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 17/17670-0 - Stochastic Partial Differential Equations and Particle Systems
Grantee:Christian Horacio Olivera
Support Opportunities: Regular Research Grants
FAPESP's process: 13/15795-9 - Stochastic partial differential equations
Grantee:Christian Horacio Olivera
Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil