ALMOST GLOBAL EXISTENCE OF DIRICHLETINITIAL-BOUNDARY VALUE PROBLEM FORNONLINEAR ELASTODYNAMIC SYSTEMOUTSIDE A STAR-SHAPED DOMAIN |
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| Authors: | XIN Jie and QIN Tiehu |
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| Affiliation: | 1. Institute of Mathematics, Fudan University, Shanghai 200433, China
2. Department of Mathematics, Fudan University, Shanghai 200433, China |
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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. |
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| Keywords: | Nonlinear elastodynamic system Exterior problem Almost global existence |
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