28 citations · 73 across the 29 of their papers we have counts for
4 papers · 1 filter
From resolvent estimates to damped waves
Hans Christianson, Emmanuel Schenck, András Vasy +1
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 un-damped se…
Quantum ergodic restriction for Cauchy data: Interior QUE and restricted QUE
Hans Christianson, John Toth, Steve Zelditch
We prove a quantum ergodic restriction theorem for the Cauchy data of a sequence of quantum ergodic eigenfunctions on a hypersurface of a Riemannian manifold . The tech…
Nonlinear bound states on weakly homogeneous spaces
Hans Christianson, Jeremy Marzuola, Jason Metcalfe +1
We prove the existence of ground state solutions for a class of nonlinear elliptic equations, arising in the production of standing wave solutions to an associated family of nonlin…
Near Sharp Strichartz estimates with loss in the presence of degenerate hyperbolic trapping
Hans Christianson
We consider an -dimensional spherically symmetric, asymptotically Euclidean manifold with two ends and a codimension 1 trapped set which is degenerately hyperbolic. By separatin…