English

A remark on the Schr\"odinger smoothing effect

Analysis of PDEs 2009-12-25 v2

Abstract

We prove the equivalence between the smoothing effect for a Schr\"odinger operator and the decay of the associate spectral projectors. We give two applications to the Schr\"odinger operator in dimension one.

Keywords

Cite

@article{arxiv.0910.1074,
  title  = {A remark on the Schr\"odinger smoothing effect},
  author = {Laurent Thomann},
  journal= {arXiv preprint arXiv:0910.1074},
  year   = {2009}
}

Comments

6 pages

R2 v1 2026-06-21T13:54:52.044Z