Chinese Quarterly Journal of Mathematics ›› 2019, Vol. 34 ›› Issue (4): 331-342.doi: 10.13371/j.cnki.chin.q.j.m.2019.04.001

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Well-posedness for A Plat Equations with Nonlocal Source Term

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  1. College of Science,Henan University of Technology

Abstract: 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. 

Key words: Plate equation, Nonlocal source term, Decay estimate, Blow-up

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