Generalized functions and stochastic equations

• Grant number: 12/18940-7
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: February 09, 2014
• End date: February 08, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Christian Horacio Olivera
• Grantee: Christian Horacio Olivera
• Visiting researcher: Jean Francois Colombeau
• Visiting researcher institution: Université de Grenoble, France
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

Study generalized solutions of stochastic nonlinear equations with rough initial condition via the distribution theory and the algebras of generalized functions. We would like to create links between solutions in generalized function algebras and the solutions via the Galerkin method of numerical approximation. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

CATUOGNO, P.; COLOMBEAU, J. F.; OLIVERA, C.. Generalized solutions of the multidimensional stochastic Burgers equation. Journal of Mathematical Analysis and Applications, v. 464, n. 2, p. 1375-1382, AUG 15 2018. (15/07278-0, 12/18940-7, 15/04723-2)