Global existence and asymptotic behaviour of solutions for the generalized Boussinesq equation |
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Authors: | Yu-Zhu Wang |
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Institution: | Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200030, China |
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Abstract: | In this paper, we prove the existence and the uniqueness of global solution for the Cauchy problem for the generalized Boussinesq equation. Under some assumptions, we also show that the L∞ norm of small solution of the Cauchy problem for the generalized Boussinesq equation decays to zero as t tends to the infinity. |
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Keywords: | 35L30 35B40 76B15 |
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