Exceptional 2 × 2 quasilinear hyperbolic systems
✍ Scribed by P. Carbonaro
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 416 KB
- Volume
- 182
- Category
- Article
- ISSN
- 0375-9601
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📜 SIMILAR VOLUMES
We shall be concerned with the development of singularities of the C 1 -solutions of the quasilinear N ×N hyperbolic system Ut +A(U )Ux =0 in one space dimension. Generalizing a nonlinearity condition introduced by MacCamy and Mizel (Arch. Rat. Mech. Anal. 25 (1967) 299-320), in this paper we prove
## 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