ORIGINAL PAPER
General decay rate of a variable coefficient wave equation with boundary viscoelastic damping
Yu-Xiang Liu,
Corresponding Author
Yu-Xiang Liu
School of the Science, Qingdao University of Technology, Qingdao, Shandong, PR China
Correspondence
Yu-Xiang Liu, School of the Science, Qingdao University of Technology, Qingdao, Shandong 266520, PR China.
Email: [email protected]
Search for more papers by this authorYu-Xiang Liu,
Corresponding Author
Yu-Xiang Liu
School of the Science, Qingdao University of Technology, Qingdao, Shandong, PR China
Correspondence
Yu-Xiang Liu, School of the Science, Qingdao University of Technology, Qingdao, Shandong 266520, PR China.
Email: [email protected]
Search for more papers by this authorFirst published: 16 February 2025
Abstract
In this paper, we consider the general decay of wave equation with variable coefficients and boundary viscoelastic damping. Applying the Riemannian geometry method and convex analysis, we establish the energy decay rate which is given by solutions of a first-order nonlinear, dissipative ordinary differential equation under a wider assumption of the viscoelastic damping and some conditions on the coefficient matrix.
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