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GLOBAL CLASSICAL SOLUTIONS WITH SMALL INITIAL TOTAL VARIATION FOR QUASILINEAR HYPERBOLIC SYSTEMS |
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| Authors: | YAN Ping |
| Affiliation: | Institute of Mathematics,Fudan University,Shanghai 200433,China. |
| Abstract: | By means of the continuous Glimm functional, a proof is given on the global existence of classical solutions to Cauchy problem for general first order quasilinear hyperbolic systems with small initial total variation. |
| Keywords: | Weak linear degeneracy Continuous Glimm functional Total variation Global classical solution Quasilinear hyperbolic system |
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