Injectivity of the Dirichlet-to-Neumann Functional and the Schwarzian Derivative

Anais da Academia Brasileira de Ciências

Fernando A.f.c. Silva²  Pedro A.g. Venegas¹  Ramón O.m. Ahumada² 

[1] ,Universidade Federal de Pernambuco CCEN Departamento de MatemáticaRecife PE ,Brasil

关键词: annulus;    Dirichlet-to-Neumann Functional;    Schwarzian Derivative;    anel;    Funcional Dirichlet-Neumann;    Derivada Schwarziana;   

DOI  :  10.1590/S0001-37652010000400003

来源: SciELO

【 摘 要 】

In this article, we show the relation between the Schwartz kernels of the Dirichlet-to-Neumann operators associated to the metrics g0 and h = F* (e²φ g0) on the circular annulus A R, and the Schwarzian Derivative of the argument function f of the restriction of the diffeomorphism F to the boundary of A R.

【 授权许可】

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