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math.AP2025
Hölder damping for fractional wave equations
Jian Wang, Ruoyu P. T. Wang
For fractional wave equations with low Hölder regularity damping, we establish quantitative energy decay rates for their solutions when the geometric control condition holds. The…
math.AP2025
Convex waves grazing convex obstacles to high order
Jian Wang, Mark Williams
In a recent paper [WW23] we studied the transport of oscillations in solutions to linear and some semilinear second-order hyperbolic boundary problems along rays that graze a conve…