PORTUGALIAEMATHEMATICA
Vol. 56, No. 4, pp. 389-408 (1999)
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PORTUGALIAE MATHEMATICA Vol. 56, No. 4, pp. 389-408 (1999) |
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On the Hyperbolic Dirichlet to Neumann FunctionalFernando Cardoso and Claudio CuevasDepartamento de Matemática, Universidade Federal de Pernambuco,Recife-PE., 50.540-740 - BRAZIL E-mail: fernando@dmat.ufpe.br Departamento de Matemática, Universidad de la Fronteira, Temuco 54-D - Temuco - CHILE E-mail: cch@epu.dmat.ufro.cl Abstract: We prove the injectivity of the linearization of the hyperbolic Dirichlet to Neumann functional associated to metrics near the euclidean one in a ``small'' bounded domain of $\R^3$, under some suitable transversality and geometric conditions. Keywords: Dirichlet to Neumann Functional; transversality condition; metric. Classification (MSC2000): 35L20, 58G20. Full text of the article:
Electronic version published on: 31 Jan 2003. This page was last modified: 27 Nov 2007.
© 1999 Sociedade Portuguesa de Matemática
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