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Global existence of classical solutions to the Cauchy problem for a kind of quasilinear hyperbolic system

โœ Scribed by Yan Guan


Book ID
108216218
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
493 KB
Volume
71
Category
Article
ISSN
0362-546X

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Global existence of classical solutions
โœ Ta-Tsien Li; Libin B. Wang ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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