Advanced search
Start date
Betweenand
Related content


THE TRANSPORT EQUATION AND ZERO QUADRATIC VARIATION PROCESSES

Full text
Author(s):
Clarke, Jorge ; Olivera, Christian ; Tudor, Ciprian
Total Authors: 3
Document type: Journal article
Source: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B; v. 21, n. 9, p. 12-pg., 2016-11-01.
Abstract

We analyze the transport equation driven by a zero quadratic variation process. Using the stochastic calculus via regularization and the Malliavin calculus techniques, we prove the existence, uniqueness and absolute continuity of the law of the solution. As an example, we discuss the case when the noise is a Hermite process. (AU)

FAPESP's process: 15/04723-2 - Topics in stochastic partial diferential equations
Grantee:Christian Horacio Olivera
Support Opportunities: Regular Research Grants