Global existence and blow-up of solutions for a system of Petrovsky 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, P.R. China.yjye2013@163.comyeyaojun@zust.edu.cn |
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Abstract: | The initial-boundary value problem for a system of Petrovsky equations with memory and nonlinear source terms in bounded domain is studied. The existence of global solutions for this problem is proved by constructing a stable set, and obtain the exponential decay estimate of global solutions. Meanwhile, under suitable conditions on relaxation functions and the positive initial energy as well as non-positive initial energy, it is proved that the solutions blow up in the finite time and the lifespan estimates of solutions are also given. |
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Keywords: | Global existence exponential decay estimates blow-up Petrovsky systems |
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