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math.AP2020
"Bootstrap Domain of Dependence": Bounds and Time Decay of Solutions of the Wave Equation
Thomas G. Anderson, Oscar P. Bruno
This article introduces a novel "bootstrap domain-of-dependence" concept, according to which, for all time following a given illumination period of arbitrary duration, the wave fie…
math.AP2015
Stability analysis of degenerately-damped oscillations
Thomas Anderson, George Avalos, Elizabeth Galvin +4
Presented here is a study of well-posedness and asymptotic stability of a "degenerately damped" PDE modeling a vibrating elastic string. The coefficient of the damping may vanish a…