Attractors for damped wave equations on an arbitrary domain

Author(s)

Ariadne Nogueira

• Document type: Master's Dissertation
• Press: São Carlos.
• Institution: Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB)
• Defense date: 2013-03-26

Examining board members

Maria do Carmo Carbinatto; Claudia Buttarello Gentile; Sérgio Henrique Monari Soares

• Advisor: Maria do Carmo Carbinatto

Abstract

In this work we describe the results of the paper [25]. In [25] the authors prove existence of global attractors for the following semilinear damped wave equation \'\\épsilon u IND. t\'t + \'alpha\'(x)u IND. t\' + \'beta\' (x)u - \'\\SIGMA SOBRE i, j \'\\PARTIAL IND. i\' (\'a IND. i j\' (x) \'\\PARTIAL IND. j u\') = f (x, u), x \'IT BELONGS\' \'ÔMEGA\', t \'IT BELONGS\' [0, \'INFINITY\'), u(x,t), x \'IT BELONGS\' \'\\PARTIAL ÔMEGA\', t \'IT BELONGS\' [), \'INFINITY\'0 on an arbitrary domain \'OMEGA\' (AU)

• FAPESP's process: 10/12742-3 - Attractors and damped wave equations on unbounded domains
• Grantee: Ariadne Nogueira
• Support Opportunities: Scholarships in Brazil - Master