Resonance free regions for nontrapping manifolds with cusps
Analysis of PDEs
2017-05-12 v1
Abstract
We prove resolvent estimates for nontrapping manifolds with cusps which imply the existence of arbitrarily wide resonance free strips, local smoothing for the Schrodinger equation, and resonant wave expansions. We obtain lossless limiting absorption and local smoothing estimates, but the estimates on the holomorphically continued resolvent exhibit losses. We prove that these estimates are optimal in certain respects.
Keywords
Cite
@article{arxiv.1210.7736,
title = {Resonance free regions for nontrapping manifolds with cusps},
author = {Kiril Datchev},
journal= {arXiv preprint arXiv:1210.7736},
year = {2017}
}
Comments
45 pages, 6 figures