A sharper decay rate for a viscoelastic wave equation with power nonlinearity |
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| Authors: | Tosiya Miyasita Khaled Zennir |
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| Institution: | 1. Faculty of Science and Engineering, Doshisha University, Kyotanabe, 610-0394 Japan;2. LAMAHIS, Department of Mathematics, University 20 Août 1955, Skikda, 21000 Algeria |
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| Abstract: | We consider a viscoelastic wave equation with power nonlinearity. First, we construct a local solution by the Faedo-Galerkin approximation scheme and contraction mapping theorem. Next, we continue the local solution to the global one by a priori estimates obtained from a decreasing energy. Finally, we discuss the decay rate of the global solution by assuming that the kernel function is convex. |
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| Keywords: | decay rate decreasing energy global solution viscoelastic wave equation |
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