| 一类带阻尼项和负质量项的波动方程解的破裂 |
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| 引用本文： | 范雄梅,明森,韩伟,苏业芹.一类带阻尼项和负质量项的波动方程解的破裂[J].华中师范大学学报(自然科学版),2022,56(3):389-393. |
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| 作者姓名： | 范雄梅 明森 韩伟 苏业芹 |
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| 作者单位： | (1.中北大学数学系， 太原 030051； 2.西南财经大学证券与期货学院， 成都 611130) |
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| 摘 要： | 在外区域上研究一类带阻尼项、负质量项和组合非线性项的变系数波动方程的初边值问题. 通过引入乘子，利用检验函数方法与迭代方法，在小初值时得到问题的解会在有限时间内破裂，进而给出其生命跨度的上界估计.
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| 关 键 词： | 外区域 负质量项 组合非线性项 破裂 生命跨度 |
| 收稿时间： | 2022-06-13 |
Blow-up of solution to a wave equation with damping term and negative mass term |
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| FAN Xiongmei,MING Sen,HAN Wei,SU Yeqin.Blow-up of solution to a wave equation with damping term and negative mass term[J].Journal of Central China Normal University(Natural Sciences),2022,56(3):389-393. |
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| Authors: | FAN Xiongmei MING Sen HAN Wei SU Yeqin |
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| Institution: | (1.Department of Mathematics， North University of China， Taiyuan 030051， China；2.Department of Securities and Futures， Southwestern University of Finance and Economics， Chengdu 611130， China) |
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| Abstract: | This paper is concerned with the initial boundary values problem of a variable coefficient wave equation with damping term， negative mass term and combined nonlinearities on exterior domain. Using the multiplier and applying test function technique together with iterative approach， it is deduced that a solution to the problem with small initial values will blow-up in finite time. Moreover， upper bound lifespan estimate of solution is established. |
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| Keywords: | exterior domain negative mass term combined nonlinearities blow-up lifespan |
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