Cauchy Problem for Diagonalized System of Nonlinear Hyperbolic Equations of First Order
β Scribed by Sadao Miyatake
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 123 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1422-6928
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π SIMILAR VOLUMES
Let 0/R n be open, u : 0 Γ R m and thus the gradient matrix Du # R m\_n . We let E/R m\_n be compact and denote by RcoE and PcoE the rank one convex and polyconvex hull of E, respectively. We show that if RcoE=PcoE (and two other hypotheses, named the segment property and the extreme points property
## Abstract We study the wellposedness in the Gevrey classes __G__^__s__^ and in __C__^β^ of the Cauchy problem for weakly hyperbolic equations of higher order. In this paper we shall give a new approach to the case that the characteristic roots oscillate rapidly and vanish at an infinite number of