Ondes de gradients multidimensionnelles
Author(s)
Bibliographic Information
Ondes de gradients multidimensionnelles
（Memoirs of the American Mathematical Society, no. 511）
American Mathematical Society, 1993
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"November 1993, volume 106, number 511 (end of volume)"--T.p
Includes bibliographical references (p. 92-93)
Description and Table of Contents
Description
Recent techniques in partial differential equations have led to a solution to the general multidimensional Cauchy problem for nonlinear gradient waves. In a blown-up configuration, Sable-Tougeron constructs a local solution for a quasilinear hyperbolic system with continuous Cauchy data, in which the first derivatives are discontinuous on a hyper surface. This strong singularity is not so problematic as a rarefaction: The use of Alinhac's para-unknown leads to a tame inequality without loss of derivatives for the iterative scheme.
Table of Contents
Formulation du probleme, enonce du resultat L'inegalite Espaces et calcul paradifferentiel adaptes L'inegalite tame: premiere etape, paralinearisation L'inegalite tame, inegalites conormales du modele paradifferentiel Linegalite tame fermee Les estimations Les equations eiconales Le probleme non lineaire Appendice Bibliographie.
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