English

On the fractional powers of a Schr\"odinger operator with a Hardy-type potential

Analysis of PDEs 2024-05-22 v2

Abstract

Strong unique continuation properties and a classification of the asymptotic profiles are established for the fractional powers of a Schr\"odinger operator with a Hardy-type potential, by means of an Almgren monotonicity formula combined with a blow-up analysis.

Keywords

Cite

@article{arxiv.2302.08259,
  title  = {On the fractional powers of a Schr\"odinger operator with a Hardy-type potential},
  author = {Giovanni Siclari},
  journal= {arXiv preprint arXiv:2302.08259},
  year   = {2024}
}