We address the decay rates of the energy for the damped wave equation when the dam**
coefficient b does not satisfy the geometric control condition (GCC). First, we give a link with …

We present an overview of mathematical results and methods relevant for the spectral study
of semiclassical Schrödinger (or wave) operators of scattering systems, in cases where the …

We consider the damped wave equation on a manifold with imperfect geometric control. We
show the sub-exponential energy decay estimate in (Christianson, J Funct Anal 258 (3) …

We prove exponential decay of energy for solutions of the damped wave equation on
compact hyperbolic surfaces with regular initial data as long as the dam** is nontrivial …

In this paper, we show how to obtain decay estimates for the damped wave equation on a
compact manifold without geometric control via knowledge of the dynamics near the …

For a large class of semiclassical operators $ P (h)-z $ which includes Schrödinger
operators on manifolds with boundary, we construct the Quantum Monodromy operator $ M …

We prove L p-analogues of the classical tauberian theorem of Ingham and Karamata, and its
variations giving rates of decay. These results are applied to derive L p-decay of operator …

Full article: Smoothing Effect for the Regularized Schrödinger Equation with Non-Controlled
Orbits Skip to Main Content Taylor and Francis Online homepage Taylor and Francis Online …

We study the transmission problem in bounded domains with dissipative boundary
conditions. Under some natural assumptions, we prove uniform bounds of the …

We prove exponential decay for the solution of the Schrödinger equation on a dissipative
waveguide. The absorption is effective everywhere on the boundary, but the geometric …