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| Blow-up Mechanism of Classical Solutions to Quasilinear Hyperbolic Systems in the Critical Case |
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Citation： |
Tatsien LI,Libin WANG.Blow-up Mechanism of Classical Solutions to Quasilinear Hyperbolic Systems in the Critical Case[J].Chinese Annals of Mathematics B,2006,27(1):53~66 |
| Page view： 1167
Net amount： 835 |
Authors： |
Tatsien LI; Libin WANG |
Foundation： |
Project supported by the Special Funds for Major State Basic Research Project of China and Specialized
Research Fund for the Doctoral Program of Higher Education (No.20020246002). |
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| Abstract： |
This paper deals with the blow-up phenomenon, particularly, the
geometric blow-up mechanism, of classical solutions to the Cauchy
problem for quasilinear hyperbolic systems in the critical case.
We prove that it is still the envelope of the same family of
characteristics which yields the blowup of classical solutions to
the Cauchy problem in the critical case. |
Keywords： |
Quasilinear hyperbolic system, Classical solution, Blowup, Critical case |
Classification： |
35L45, 35L60 |
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