This paper explores the boundary stabilization of a degenerate wave equation in the nondivergence form, which includes a drift term and a singular potential term. Additionally, we introduce boundary fractional derivative damping at the endpoint where divergence is absent. Using semi-group theory and the multiplier method, we establish polynomial stability, with a decay rate depending upon the order of the fractional derivative.
Stabilization for a degenerate wave equation with drift and potential term with boundary fractional derivative control
Issa, Ibtissam
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2024-01-01
Abstract
This paper explores the boundary stabilization of a degenerate wave equation in the nondivergence form, which includes a drift term and a singular potential term. Additionally, we introduce boundary fractional derivative damping at the endpoint where divergence is absent. Using semi-group theory and the multiplier method, we establish polynomial stability, with a decay rate depending upon the order of the fractional derivative.File in questo prodotto:
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