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Global existence of classical solutions to the Cauchy problem on a semi-bounded initial axis for a nonhomogeneous quasilinear hyperbolic system

✍ Scribed by Ta-Tsien Li; Zhi-Qiang Shao; De-Xing Kong

Book ID
108175499
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
197 KB
Volume
325
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES

Global existence of classical solutions
Global existence of classical solutions to the Cauchy problem on a semi-bounded initial axis for quasilinear hyperbolic systems
✍ Ta-Tsien Li; Libin B. Wang πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 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