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Journal of Inequalities and Applications 
Volume 2005 (2005), Issue 3, Pages 303-317
doi:10.1155/JIA.2005.303

Local solution of carrier's equation in a noncylindrical domain

Tania Nunes Rabello and Maria Cristina De Campos Vieira

Departamento de Matemática, Instituto Tecnológico de Aeronáutica, São José dos Campos, São Paulo 12228-900, Brazil

Received 29 April 2003

Abstract

We study Carrier's equation in a noncylindrical domain. We use the penalty method combined with Faedo-Galerkin and compactness arguments. We obtain results of the existence and uniqueness of the local solution.