Decay rate of quasilinear wave equation with viscosity |
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| Authors: | Yu-ming Qin Xin Liu Shu-xian Deng |
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| Institution: | 1. Department of Applied Mathematics, College of Sciences, Donghua University, Shanghai, 201620, China
2. College of Information Sciences and Technology, Donghua University, Shanghai, 201620, China
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| Abstract: | This paper is concerned with the decay rate of solutions for a quasilinear wave equation with viscosity. We use a so-called energy perturbation method to establish decay rate of solutions in terms of energy norm for a class of nonlinear functions. With the help of a comparison lemma of differential inequalities, we establish a relationship between decay rate of solutions and f. |
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| Keywords: | decay rate energy inequality quasilinear wave equation |
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