## Abstract We study the wellposedness in the Gevrey classes __G__^__s__^ and in __C__^โ^ 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
On the cauchy problem for weakly hyperbolic equations
โ Scribed by O. A. Oleinik
- Publisher
- John Wiley and Sons
- Year
- 1970
- Tongue
- English
- Weight
- 644 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0010-3640
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๐ SIMILAR VOLUMES
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## Abstract We study the Cauchy problem for a class of quasilinear hyperbolic systems with coefficients depending on (__t__, __x__) โ [0, __T__ ] ร โ^__n__^ and presenting a linear growth for |__x__ | โ โ. We prove wellโposedness in the Schwartz space __๐ฎ__ (โ^__n__^ ). The result is obtained by d