GLOBAL CLASSICAL SOLUTIONS WITH SMALL INITIAL TOTAL VARIATION FOR QUASILINEAR HYPERBOLIC SYSTEMS

Citation:

YAN Ping.GLOBAL CLASSICAL SOLUTIONS WITH SMALL INITIAL TOTAL VARIATION FOR QUASILINEAR HYPERBOLIC SYSTEMS[J].Chinese Annals of Mathematics B,2002,23(3):335~348
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Authors:

YAN Ping;
Abstract: By means of the continuous Glimm functional, a proof is given on the global existence of classical solutions to Cauchy problem for general rst order quasilinear hyperbolic systems with small initial total variation.

Keywords:

Weak linear degeneracy, Continuous Glimm functional, Total variation, Global classical solution, Quasilinear hyperbolic system

Classification:

35L45
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