On a viscoelastic equation with nonlinear boundary damping and source terms: Global existence and decay of the solution |
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Authors: | Liqing Lu Shengjia Li Shugen Chai |
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Affiliation: | 1. School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi 030006, PR China;2. Research Institute of Mathematics and Applied Mathematics, Shanxi University, Taiyuan, Shanxi 030006, PR China |
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Abstract: | In this paper, we consider a nonlinear viscoelastic wave equation with nonlinear boundary damping and source terms. Under some appropriate assumptions on the relaxation function and with certain initial data, the global existence of solutions and a general decay for the energy have been established. |
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