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- Title
Energy Decay for Wave Equation of Variable Coefficients with Dynamic Boundary Conditions and Time-Varying Delay.
- Authors
Du, Fangqing; Hao, Jianghao
- Abstract
In this paper, we consider a variable-coefficient wave equation with dynamic boundary conditions and a time-varying delay in the boundary feedback. Some special multipliers are applied to deal with the variable-coefficient principle part of wave equation. By using the Riemannian geometry method and multiplier method, we obtain that the energy decay results of system is described by the solution of a first-order ordinary differential equation, which has improved the previous results in the literature.
- Subjects
WAVE equation; BOUNDARY value problems; RIEMANNIAN geometry; DIFFERENTIAL equations; MULTIPLIERS (Mathematical analysis)
- Publication
Journal of Geometric Analysis, 2023, Vol 33, Issue 4, p1
- ISSN
1050-6926
- Publication type
Article
- DOI
10.1007/s12220-022-01161-1