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Journal of Inequalities and Applications
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Local solution of carrier's equation in a noncylindrical domain

Journal of Inequalities and Applications volume 2005, Article number: 313250 (2005) Cite this article

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.

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Authors and Affiliations

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

    Tania Nunes Rabello & Maria Cristina De Campos Vieira

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  1. Tania Nunes Rabello
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  2. Maria Cristina De Campos Vieira
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Correspondence to Tania Nunes Rabello.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Rabello, T.N., Vieira, M.C.D.C. Local solution of carrier's equation in a noncylindrical domain. J Inequal Appl 2005, 313250 (2005). https://doi.org/10.1155/JIA.2005.303

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  • DOI: https://doi.org/10.1155/JIA.2005.303