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On the existence in Gevrey classes of local solutions to the Cauchy problem for nonlinear hyperbolic systems with Hölder continuous coefficients

✍ Scribed by Kunihiko Kajitani; Yasuo Yuzawa

Book ID
107392565
Publisher
Springer-Verlag
Year
2006
Tongue
German
Weight
201 KB
Volume
52
Category
Article
ISSN
0430-3202

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✍ Ta-Tsien Li; Libin B. Wang 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 243 KB

In this paper, we consider the Cauchy problem with initial data given on a semi-bounded axis for quasilinear hyperbolic systems. Under the assumption that the leftmost (resp. rightmost) eigenvalue is weakly linearly degenerate, we obtain the global existence and uniqueness of C 1 solution with small