3 papers
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.AP2021
Stabilisation of Waves on Product Manifolds by Boundary Strips
Ruoyu P. T. Wang
We show that a transversely geometrically controlling boundary damping strip is sufficient but not necessary for -decay of waves on product manifolds. We give a general s…
math.AP2021
Sharp Polynomial Decay for Waves Damped from the Boundary in Cylindrical Waveguides
Ruoyu P. T. Wang
We study the decay of global energy for the wave equation with Hölder continuous damping placed on the -boundary of compact and non-compact waveguides with star-shaped cro…