On the hyperbolic Dirichlet to Neumann functional in abelian Lie groups

Authors

  • Claudio Cuevas Universidad de la Frontera.

DOI:

https://doi.org/10.22199/S0716-09172000000100002

Keywords:

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

Abstract

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.

Author Biography

Claudio Cuevas, Universidad de la Frontera.

Facultad de Ingeniería,
Departamento de Matemáticas.

References

1. 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).

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

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

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

Published

2017-06-14

How to Cite

[1]
C. Cuevas, “On the hyperbolic Dirichlet to Neumann functional in abelian Lie groups”, Proyecciones (Antofagasta, On line), vol. 19, no. 1, pp. 19-25, Jun. 2017.

Issue

Section

Artículos