On the hyperbolic Dirichlet to Neumann functional in abelian Lie groups

Claudio Cuevas

Resumen


We prove the injectivity of the linearization of the hyperbolic Dirichlet to Neumann functional in a “small” compact neighborhood of the identity element e of an abelian Lie group G, under some suitable transversality condition.

Palabras clave


Hyperbolic Dirichlet; Neumann functional; Lie groups; abelian groups; hiperbólica de Dirichlet; funcional de Neumann; grupos de Lie; grupos abelianos.

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Referencias


Cardoso, F. and Cuevas, C., “On the Hyperbolic Dirichlet to Neumann functional in Hn and Sn”, Proyecciones Vol. 17, No 1, pp. 63 − 70, (1998).

Cardoso, F. and Cuevas, C., “On the Hyperbolic Dirichlet to Neumann functional”, to appear Portugaliae Mathematica. Vol. 56, No 4, (1999)

Cardoso, F. and Mendoza, R., “On the Hyperbolic Dirichlet to Neumann functional”, Comm. in Partial Diff. Equations, 21, pp. 1235 − 1252, (1996).

Uhlmann, G., ”Inverse boundary value problems and applications”. Ast´erisque, 207, pp. 153 − 211, (1992).




DOI: http://dx.doi.org/10.22199/S0716-09172000000100002

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