46 citations · 126 across the 26 of their papers we have counts for
Showing 2014 · math.APShow all
3 papers · 2 filters
math.AP2014★ 2 cited
Long-time dynamics of the perturbed Schrödinger equation on negatively curved surfaces
Gabriel Riviere
We consider perturbations of the semiclassical Schr{ö}dinger equation on a compact Riemannian surface with constant negative curvature and without boundary. We show that, for scale…
math.AP2014★ 14 cited
norms, nodal sets, and quantum ergodicity
Hamid Hezari, Gabriel Riviere
For small range of , we improve the bounds of eigenfunctions of the Laplacian on negatively curved manifolds. Our improvement is by a power of logarithm for a full densi…
math.AP2014
Perturbation of the semiclassical Schrödinger equation on negatively curved surfaces
Suresh Eswarathasan, Gabriel Riviere
We consider the semiclassical Schrödinger equation on a compact negatively curved surface. For any sequence of initial data microlocalized on the unit cotangent bundle, we look at…