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| GLOBAL EXISTENCE OF WEAKLY DISCONTINUOUS SOLUTIONS TO THE CAUCHY PROBLEM WITH A KIND OF NON-SMOOTH INITIAL DATA FOR QUASILINEAR HYPERBOLIC SYSTEMS |
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Citation： |
LI Tatsien,WANG Libin.GLOBAL EXISTENCE OF WEAKLY DISCONTINUOUS SOLUTIONS TO THE CAUCHY PROBLEM WITH A KIND OF NON-SMOOTH INITIAL DATA FOR QUASILINEAR HYPERBOLIC SYSTEMS[J].Chinese Annals of Mathematics B,2004,25(3):319~334 |
| Page view： 1226
Net amount： 933 |
Authors： |
LI Tatsien; WANG Libin |
Foundation： |
Project supported by the Special Funds for Major State Basic Research Projects of China. |
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| Abstract： |
The authors consider the Cauchy problem with a kind of non-smooth initial data
for quasilinear hyperbolic systems and obtain a necessary and sufficient condition to
guarantee the existence and uniqueness of global weakly discontinuous solution. |
Keywords： |
Quasilinear hyperbolic system, Cauchy problem, Global weakly discontinuous
solution, Weakly linear degeneracy |
Classification： |
35L45, 35L60, 35R05 |
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