Operators spectral behavior in dumbbell domains

• Grant number: 07/00981-0
• Support Opportunities: Scholarships abroad - Research
• Start date: September 15, 2007
• End date: December 14, 2007
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: German Jesus Lozada Cruz
• Grantee: German Jesus Lozada Cruz
• Host Investigator: José Maria Arrieta Algarra
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
• Institution abroad: Universidad Complutense de Madrid (UCM), Spain

Abstract

Our main aim in this project is study the rate of convergence of eigenvalues of the Laplace operator in dumbbell domains with Neumann boundary conditions when the dimension of the domain is bigger than two and the eigenvalues are simple and when the dimension of teh domain is bigger or iqual two an the eigenvalues are multiple (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)

ARRIETA, JOSE M.; CARVALHO, ALEXANDRE N.; LOZADA-CRUZ, GERMAN. Dynamics in dumbbell domains II. The limiting problem. Journal of Differential Equations, v. 247, n. 1, p. 174-202, JUL 1 2009. (07/00981-0, 06/04781-3)