Injectivity of the Dirichlet-to-Neumann Functional and the Schwarzian Derivative
An. acad. bras. ciênc
;
82(4): 813-822, Dec. 2010.
Article
in English
| LILACS
| ID: lil-567791
ABSTRACT
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.
RESUMO
Neste artigo mostramos a relação entre os núcleos de Schwartz dos operadores Dirichlet-to-Neumann associados à métrica g0 e h = F* (e²φ g0), no anel circular A R, e a Derivada Schwarziana da função argumento f, da restrição do difeomorfismo F à fronteira de A R.
Full text:
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Index:
LILACS (Americas)
Language:
English
Journal:
An. acad. bras. ciênc
Journal subject:
Science
Year:
2010
Type:
Article
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