Stabilisation of waves on product manifolds by boundary strips

Wang, Ruoyu

doi:10.1090/proc/16242

Stabilisation of waves on product manifolds by boundary strips
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by Ruoyu P. T. Wang

Proc. Amer. Math. Soc.

DOI: https://doi.org/10.1090/proc/16242

Published electronically: April 11, 2024

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Abstract:

We show that a transversely geometrically controlling boundary damping strip is sufficient but not necessary for $t^{-1/2}$-decay of waves on product manifolds. We give a general scheme to turn resolvent estimates for impedance problems on cross-sections to wave decay on product manifolds.

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