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Ondes de Gradients Multidimensionnelles
Monique Sablé-Tougeron
出版American Mathematical Soc., 1993
主題Mathematics / Differential Equations / GeneralMathematics / Differential Equations / Partial
ISBN08218257399780821825730
URLhttp://books.google.com.hk/books?id=AIfUCQAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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, Sablé-Tougeron constructs a local solution for a quasilinear hyperbolic system with continuous Cauchy data, in which the first derivatives are discontinuous on a hypersurface. 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.