Ondes De Gradients Multidimensionnelles
Sable-Tougeron
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.
Categorías:
Año:
1993
Editorial:
Amer Mathematical Society
Idioma:
english
Páginas:
93
ISBN 10:
0821825739
ISBN 13:
9780821825730
Serie:
Memoirs of the American Mathematical Society
Archivo:
PDF, 8.10 MB
IPFS:
,
english, 1993