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Indirect boundary stabilization for weakly coupled degenerate wave equations under fractional damping (2310.11174v1)
Published 17 Oct 2023 in math.AP
Abstract: In this paper, we consider the well-posedness and stability of a one-dimensional system of degenerate wave equations coupled via zero order terms with one boundary fractional damping acting on one end only. We prove optimal polynomial energy decay rate of order $1/t{(3-\tau)}$. The method is based on the frequency domain approach combined with multiplier technique.