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Well-posedness for A Plate Equation with Nonlocal Source term

一类具有非局部源项的板方程解的适定性研究(英文)
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摘要 In this paper,we investigate the initial boundary value problem for a plate equation with nonlocal source term.The local,global existence and exponential decay result are established under certain conditions.Moreover,we also prove the blow-up in finite time and the lifespan of solution under certain conditions. In this paper,we investigate the initial boundary value problem for a plate equation with nonlocal source term.The local,global existence and exponential decay result are established under certain conditions.Moreover,we also prove the blow-up in finite time and the lifespan of solution under certain conditions.
机构地区 College of Science
出处 《Chinese Quarterly Journal of Mathematics》 2019年第4期331-342,共12页 数学季刊(英文版)
基金 Supported by National Natural Science Foundation of China(11801145) Key Scientific Research Foundation of the Higher Education Institutions of Henan Province,China(Grant No.19A110004)and(2018GGJS068)。
关键词 Plate equation Nonlocal source term Decay estimate BLOW-UP Plate equation Nonlocal source term Decay estimate Blow-up
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