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- W4296816384 abstract "In this paper, we investigate the stability of the linear wave equation where one part of the boundary, which is seen as a lower-dimensional Riemannian manifold, is governed by a coupled wave equation, while the other part is subject to a dissipative Robin velocity feedback. We prove that the closed-loop equations generate a semi-uniformly stable semigroup of linear contractions on a suitable energy space. Furthermore, under multiplier-related geometrical conditions, we establish a polynomial decay rate for strong solutions. This is achieved by estimating the growth of the resolvent operator on the imaginary axis." @default.
- W4296816384 created "2022-09-24" @default.
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- W4296816384 date "2022-01-01" @default.
- W4296816384 modified "2023-09-26" @default.
- W4296816384 title "Wave Equation with Hyperbolic Boundary Condition: a Frequency Domain Approach" @default.
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- W4296816384 doi "https://doi.org/10.1016/j.ifacol.2022.10.386" @default.
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