General Energy Decay of Solutions for a Wave Equation with Nonlocal Damping and Nonlinear Boundary Damping
Year: 2019
Author: Donghao Li, Hongwei Zhang, Qingying Hu
Journal of Partial Differential Equations, Vol. 32 (2019), Iss. 4 : pp. 369–380
Abstract
In this paper, we consider a nonlinear wave equation with nonlocal damping and nonlinear boundary damping. We prove a general energy decay property for solutions in terms of coefficient of the frictional boundary damping by using of the multiplier technique from the idea of Martinez [1]. Our result extends and improves the result in the literature such as the work by Lourêdo, Ferreira de Araújo and Mirandain [2] in which only exponential energy decay is considered. Furthermore, we get also the energy decay for the equation with nonlocal damping only but without nonlinear boundary damping.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v32.n4.6
Journal of Partial Differential Equations, Vol. 32 (2019), Iss. 4 : pp. 369–380
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Wave equation
Author Details
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Energy decay and blow-up of solutions for a viscoelastic equation with nonlocal nonlinear boundary dissipation
Li, Donghao
Zhang, Hongwei
Hu, Qingying
Journal of Mathematical Physics, Vol. 62 (2021), Iss. 6
https://doi.org/10.1063/5.0051570 [Citations: 3]