2 citations · 5 across the 9 of their papers we have counts for
10 papers
Benjamini-Schramm convergence and subtrees of trees
Stijn Cambie, Stephan Wagner, Ruoyu Wang
In this paper, we study the asymptotic behaviour of the number of subtrees and the subtree density for a sequence of trees that converges in the Benjamini-Schramm sense. Benjamini-…
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…
Weakly elliptic damping gives sharp decay
Lassi Paunonen, Nicolas Vanspranghe, Ruoyu P. T. Wang
We prove that weakly elliptic damping gives sharp energy decay for the abstract damped wave semigroup, where the damping is not in the functional calculus. In this case, there is n…
Quantitative unique continuation on conic manifolds
Ruoyu P. T. Wang
This expository note, written for the proceedings of ICCM 2023, presents recent work [arXiv:2004.13894]. We particularly prove an Carleman estimate on conic manifolds, using a mult…
Optimal backward uniqueness and polynomial stability of second order equations with unbounded damping
Perry Kleinhenz, Ruoyu P. T. Wang
For general second order evolution equations, we prove an optimal condition on the degree of unboundedness of the damping, that rules out finite-time extinction. We show that contr…
Control estimates for 0th order pseudodifferential operators
Hans Christianson, Jian Wang, Ruoyu P. T. Wang
We introduce the control conditions for 0th order pseudodifferential operators whose real parts satisfy the Morse--Smale dynamical condition. We obtain microlocal cont…
Sharp polynomial decay for polynomially singular damping on the torus
Perry Kleinhenz, Ruoyu P. T. Wang
We study energy decay rates for the damped wave equation with unbounded damping, without the geometric control condition. Our main decay result is sharp polynomial energy decay for…
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…
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…
Exponential decay for damped Klein-Gordon equations on asymptotically cylindrical and conic manifolds
Ruoyu P. T. Wang
We study the decay of the global energy for the damped Klein-Gordon equation on non-compact manifolds with finitely many cylindrical and subconic ends up to bounded perturbation. W…