Cauchy problem for quasilinear hyperbolic systems with higher order dissipative terms
✍ Scribed by Kong De-Xing
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 1997
- Tongue
- English
- Weight
- 319 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1021-9722
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📜 SIMILAR VOLUMES
## Abstract We study the Cauchy problem for a class of quasilinear hyperbolic systems with coefficients depending on (__t__, __x__) ∈ [0, __T__ ] × ℝ^__n__^ and presenting a linear growth for |__x__ | → ∞. We prove well‐posedness in the Schwartz space __𝒮__ (ℝ^__n__^ ). The result is obtained by d
## Abstract We study the wellposedness in the Gevrey classes __G__^__s__^ and in __C__^∞^ 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