Remarks on a Nonlinear Wave Equation in a Noncylindrical Domain

ABSTRACT In this paper we investigate the existence of solution for an initial boundary value problem of the following nonlinear wave equation: u'' - Δu + |u|ρ =f in . where represents a non-cylindrical domain ofRn+ 1. The methodology, cf. Lions3, consists of transforming this problem, by...

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Bibliographic Details
Main Authors: I.F. LOPEZ, G.O. ANTUNES, M.D.G. DA SILVA, L.A.J. MEDEIROS
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática Aplicada e Computacional
Series:TEMA
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512015000300195&lng=en&tlng=en