Regularity in law of first order stochastic partial differential equations

• Grant number: 15/50456-6
• Support Opportunities: Regular Research Grants
• Start date: May 01, 2016
• End date: April 30, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Agreement: CNRS
• Mobility Program: SPRINT - Projetos de pesquisa - Mobilidade
• Principal Investigator: Christian Horacio Olivera
• Grantee: Christian Horacio Olivera
• Principal researcher abroad: Ciprian Tudor
• Institution abroad: École Centrale de Lille, France
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 15/04723-2 - Topics in stochastic partial diferential equations, AP.R

Abstract

We shall study the regularity of the law of solutions of the stochastic transport equation with irregular drift term and of stochastic conservation laws. We shall analyze the regularity of the law using Malliavin Calculus. (AU)