Equivalence between the internal observability and exponential decay for the Moore-Gibson-Thompson equation

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外文摘要：This paper is concerned with a third order in time linear Moore-Gibson-Thompson equation which describes the acoustic velocity potential in ultrasound wave program.Influenced by the work of Kaltenbacher,Lasiecka and Marchand(Control Cybernet.2011,40:971-988),we establish an observability inequality of the conservative problem,and then discuss the equiva-lence between the exponential stabilization of a dissipative system and the internal observational inequality of the corresponding conservative system.

外文关键词：

Moore-Gibson-Thompson equationinternal observabilityexponential stability

作者：

LIU Wen-jun、TU Zhi-yu

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作者单位：

School of Mathematics and Statistics,Nanjing University of Information Science and Technol-ogy,Nanjing 210044,China

基金：

National Natural Science Foundation of ChinaKey Research and Development Program of Jiangsu Province(Social Development)Qing Lan Project of Jiangsu Province

项目编号：

1 1771216BE2019725

出版年：

2024

DOI：

10.1007/s11766-024-4133-5

高校应用数学学报B辑(英文版)

浙江大学中国工业与应用数学学会

高校应用数学学报B辑(英文版)

影响因子：0.146

ISSN：1005-1031

年,卷(期)：2024.39(1)

参考文献量28