Diffeomorphisms of Rn with oscillatory jacobians.

Título inglés Diffeomorphisms of Rn with oscillatory jacobians.
Título español Difeomorfismos de Rn con jacobianos oscilatorios.
Autor/es Oliva, Waldyr M. ; Kuhl, Nelson M. ; Magalhâes, Luiz T.
Organización Dep. Appl. Math. Inst. Mat. Statist. Univ. Sâo Paulo, Sâo Paulo, Brasil;Dep. Math. Tech. Univ. Lisboa., Lisboa, Portugal
Revista 0214-1493
Publicación 1993, 37 (2): 255-269, 6 Ref.
Tipo de documento articulo
Idioma Inglés
Resumen inglés The paper presents, mainly, two results: a new proof of the spectral properties of oscillatory matrices and a transversality theorem for diffeomorphisms of Rn with oscillatory jacobian at every point and such that NM(f(x) - f(y)) ≤ NM(x - y) for all elements x,y Î Rn, where NM(x) - 1 denotes the maximum number of sign changes in the components zi of z Î Rn, where all zi are non zero and z varies in a small neighborhood of x. An application to a semiimplicit discretization of the scalar heat equation with Dirichlet boundary conditions is also made.
Clasificación UNESCO 120210
Palabras clave español Difeomorfismos ; Matriz jacobiana ; Ecuación del calor ; Problema de Dirichlet
Código MathReviews MR1249230
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