Local aspects of eliptic and parabolic problems

• Grant number: 12/20197-0
• Support Opportunities: Regular Research Grants
• Start date: April 01, 2013
• End date: March 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Olivâine Santana de Queiroz
• Grantee: Olivâine Santana de Queiroz
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

We consider qualitative and geometric properties of solutions to elliptic and parabolic problems. Our main focus is the regularity theory for free boundary problems as well as geometric PDE's. Those problems are in connection with some questions in Conformal Geometry and reaction diffusion problems exhibiting certain nondegeneracy, singularities or with anomalous diffusions. (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)

DE QUEIROZ, OLIVAINE S.; SHAHGHOLIAN, HENRIK. A free boundary problem with log term singularity. INTERFACES AND FREE BOUNDARIES, v. 19, n. 3, p. 351-369, 2017. (12/20197-0)

LEITAO, RAIMUNDO; DE QUEIROZ, OLIVAINE S.; TEIXEIRA, EDUARDO V.. Regularity for degenerate two-phase free boundary problems. ANNALES DE L' INSTITUT HENRI POINCARÉ-ANALYSE NON LINÉAIRE, v. 32, n. 4, p. 741-762, JUL-AUG 2015. (12/20197-0)