Asymptotic expansion in time of the Schrödinger group on conical manifolds

Xue Ping Wang

Type: Article

Publication Date: 2006-01-01

Citations: 44

DOI: https://doi.org/10.5802/aif.2230

Abstract

For Schrödinger operator P on Riemannian manifolds with conical end, we study the contribution of zero energy resonant states to the singularity of the resolvent of P near zero. Long-time expansion of the Schrödinger group U(t)=e -itP is obtained under a non-trapping condition at high energies.

Locations

French digital mathematics library (Numdam) - View - PDF
Annales de l’institut Fourier - View - PDF

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