In this paper, we investigate the stability of a degenerate/singular wave equation featuring localized singular damping, along with a drift term and a leading operator in non-divergence form. We establish exponential stability results in this context under suitable conditions on the degeneracy and singularity coefficients.
Akil, M., Fragnelli, G., Issa, I. (2025). STABILITY OF DEGENERATE WAVE EQUATIONS WITH A SINGULAR POTENTIAL AND LOCAL DAMPING. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B., 30(5), 1575-1606 [10.3934/dcdsb.2024150].
STABILITY OF DEGENERATE WAVE EQUATIONS WITH A SINGULAR POTENTIAL AND LOCAL DAMPING
Fragnelli, Genni
;
2025-01-01
Abstract
In this paper, we investigate the stability of a degenerate/singular wave equation featuring localized singular damping, along with a drift term and a leading operator in non-divergence form. We establish exponential stability results in this context under suitable conditions on the degeneracy and singularity coefficients.
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https://hdl.handle.net/11365/1276395