Global existence and asymptotic behaviour for systems of nonlinear hyperbolic equations |
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| Authors: | Yaojun Ye |
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| Institution: | 1. Department of Mathematics and Information Science , Zhejiang University of Science and Technology , Hangzhou 310023 , P.R. China yeyaojun2002@yahoo.com.cn |
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| Abstract: | We consider the initial-boundary value problem for a class of nonlinear hyperbolic equations system in a bounded domain. Using the potential well theory, the existence of global solutions is investigated. We also established the asymptotic behaviour of global solutions as t?→?+?∞ by applying the multiplier method. |
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| Keywords: | systems of nonlinear hyperbolic equations initial-boundary value problem global solutions asymptotic behaviour |
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