Well-posedness for A Plat Equations with Nonlocal Source Term

LIU Gong-wei, ZHAO Rui-min, ZHANG Hong-wei

doi:10.13371/j.cnki.chin.q.j.m.2019.04.001

Chinese Quarterly Journal of Mathematics >

2019 , Vol. 34 >Issue 4: 331 - 342

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2019.04.001

Well-posedness for A Plat Equations with Nonlocal Source Term

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College of Science,Henan University of Technology

LIU Gong-wei (1983-), male, native of Xinyang, Henan, associate professor of Henan University of Technology, Ph.D., engages in PDE.

Received date: 2019-08-26

Online published: 2020-08-21

Supported by

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)

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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

Cite this article

LIU Gong-wei, ZHAO Rui-min, ZHANG Hong-wei . Well-posedness for A Plat Equations with Nonlocal Source Term[J]. Chinese Quarterly Journal of Mathematics, 2019 , 34(4) : 331 -342 . DOI: 10.13371/j.cnki.chin.q.j.m.2019.04.001

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