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Hölder damping for fractional wave equations

Published 17 Oct 2025 in math.AP, math-ph, and math.MP | (2510.15213v1)

Abstract: For fractional wave equations with low H\"older regularity damping, we establish quantitative energy decay rates for their solutions when the geometric control condition holds. The energy decay rates depend explicitly on the H\"older regularity of the damping. In particular, we show damping functions with lower H\"older regularities that below a certain threshold give slower energy decay.

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