English

On minimal support properties of solutions of Schr\"odinger equations

Analysis of PDEs 2013-12-20 v2

Abstract

In this paper we obtain minimal support properties of solutions of Schr\"odinger equations. We improve previously known conditions on the potential for which the measure of the support of solutions cannot be too small. We also use these properties to obtain some new results on unique continuation for the Schr\"odinger operator.

Keywords

Cite

@article{arxiv.1307.2504,
  title  = {On minimal support properties of solutions of Schr\"odinger equations},
  author = {Ihyeok Seo},
  journal= {arXiv preprint arXiv:1307.2504},
  year   = {2013}
}

Comments

Revised version, to appear in Journal of Mathematical Analysis and Applications