101 citations · 263 across the 25 of their papers we have counts for
25 papers
Lindblad evolution with subelliptic diffusion
Hart F. Smith
We consider classical/quantum correspondence in Lindblad evolution with jump operators for which the corresponding Fokker--Planck equation is subelliptic. This allows us to conside…
On the trace of the wave group and regularity of potentials
Hart F. Smith
For the wave equation on with compactly supported, real valued potential , we establish a sharp relation between Sobolev regularity of and…
On the trace of Schrödinger heat kernels and regularity of potentials
Hart F. Smith
For the Schrödinger operator $-Δ_\rm{g}+V$ on a complete Riemannian manifold with real valued potential of compact support, we establish a sharp equivalence between Sobolev reg…
Dispersive estimates for the wave equation on Riemannian manifolds of bounded curvature
Yuanlong Chen, Hart F. Smith
We establish space-time dispersive estimates for solutions to the wave equation on compact Riemannian manifolds with bounded sectional curvature, with the same exponents as for $C^…
Heat traces and existence of scattering resonances for bounded potentials
Hart F. Smith, Maciej Zworski
We show that, in odd dimensions, any real valued, bounded potential of compact support has at least one scattering resonance. For dimensions three and higher this was previously kn…
Restriction Bounds for the Free Resolvent and Resonances in Lossy Scattering
Jeffrey Galkowski, Hart Smith
We establish high energy estimates for the restriction of the free Green's function to hypersurfaces in . As an application, we estimate the size of a logarithm…