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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 e…
math.AP2024
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…
math.AP2023
Transport of nonlinear oscillations along rays that graze a convex obstacle to any order
Jian Wang, Mark Williams
We provide a geometric optics description in spaces of low regularity, and , of the transport of oscillations in solutions to linear and some semilinear second-order hyp…