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2023, Volume 12, Issue 1: 154-174. Doi: 10.3934/eect.2022025

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Asymptotic behavior of the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity

1.
School of Mathematics and Big Data, Anhui University of Science and Technology
2.
Department of Mathematics, Nanjing University, China

^* Corresponding author: Chengkui Zhong
^* Corresponding author: Chengkui Zhong

Received: August 2021

Revised: April 2022

Early access: May 2022

Published: February 2023

The work is supported by National Natural Science Foundation of China (No.11731005; No.11801071)

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Abstract

In this paper, we prove the existence of the global attractor for the wave equation with nonlocal weak damping, nonlocal anti-damping and critical nonlinearity.

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Mathematics Subject Classification: Primary: 35B40, 35B41; Secondary: 35L05.

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References

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