19 citations · 57 across the 13 of their papers we have counts for
13 papers
Higher dimensional non standard eigenvalue asymptotics
Nils Rautenberg, Brice Camus
In this article we extend B. Simon's construction and results for leading order eigenvalue asymptotics to -dimensional Schrödinger operators with non-confining potentials given…
Determination of the Genus of Surfaces from the Spectrum of Schrödinger Operators attached to height functions. (An inverse spectral problem for surfaces)
Brice Camus
Using results on inverse spectral problems, in particular the so-called new wave invariants attached to a classical equilibrium, we show that it is possible to determine the Morse…
Inverse spectral problems for Schrödinger and pseudo-differential operators
Brice Camus
Starting from the semi-classical spectrum of Schrödinger operators (on or on a Riemannian manifold) it is possible to detect critical levels of the potenti…
Fundamental solutions for a class of non-elliptic homogeneous differential operators
Brice Camus
We compute temperate fundamental solutions of homogeneous differential operators with real-principal type symbols. Via analytic continuation of meromorphic distributions, fundament…
A semi-classical trace formula at a totally degenerate critical level
Brice Camus
We study the semi-classical trace formula at a critical energy level for an -pseudo-differential operator on whose principal symbol has a totally degenerate cri…
Equilibrium and eigenfunctions estimates in the semi-classical regime
Brice Camus
We establish eigenfunctions estimates, in the semi-classical regime, for critical energy levels associated to an isolated singularity. For Schrödinger operators, the asymptotic rep…