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[2] Uniform Stabilization of Wave Equation with Localized Damping and Acoustic Boundary Condition. Journal of Mathematical Analysis and Applications (2016).
Alexander D. Kolesnik, Enzo Orsingher, A Planar Random Motion with an Infinite Number of Directions Controlled by the Damped Wave Equation, Journal of Applied Probability, Vol. 42, No. 4 (Dec., 2005), ...
In particular, for the Schrödinger equation, it shown how such phenomena as the "whispering gallery" and "bouncing ball" eigenmodes dictate the supports of effective damping functions.