Global existence of classical solutions to the Cauchy problem for a kind of quasilinear hyperbolic systems in divergence form |
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| Authors: | Yan Guan |
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| Institution: | a Mathematics & Science College, Shanghai Normal University, Shanghai 200234, China
b School of Mathematical Sciences, Fudan University, Shanghai 200433, China |
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| Abstract: | This paper deals with the global existence of classical solutions to a kind of second order quasilinear hyperbolic systems subject to a null condition, with the linear elastodynamic system as its principal part and the nonlinear terms depending on the product of u2 and the derivatives of u. |
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| Keywords: | Cauchy problem Null conditions Global existence Linear elastodynamic operator Quasilinear system |
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