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| ALMOST GLOBAL EXISTENCE OF DIRICHLET INITIAL-BOUNDARY VALUE PROBLEM FOR NONLINEAR ELASTODYNAMIC SYSTEM OUTSIDE A STAR-SHAPED DOMAIN |
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Citation： |
XIN Jie,QIN Tiehu.ALMOST GLOBAL EXISTENCE OF DIRICHLET INITIAL-BOUNDARY VALUE PROBLEM FOR NONLINEAR ELASTODYNAMIC SYSTEM OUTSIDE A STAR-SHAPED DOMAIN[J].Chinese Annals of Mathematics B,2004,25(4):433~454 |
| Page view： 1206
Net amount： 884 |
Authors： |
XIN Jie; QIN Tiehu |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.10271030). |
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| Abstract： |
This paper deals with the mixed initial-boundary value problem of Dirichlet type for
the nonlinear elastodynamic system outside a star-shaped domain. The almost global
existence of solution with small initial data to this problem is proved and a lower bound
for the lifespan of solutions is given. |
Keywords： |
Nonlinear elastodynamic system, Exterior problem, Almost global existence |
Classification： |
35L70, 74H20, 74B20 |
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