English

Vanishing order of solutions to Schrodinger equation

Analysis of PDEs 2011-12-06 v2

Abstract

We study the possible vanishing order of solutions to Schrodinger equation in case the potential is a bounded function. We give an upper bound on compact manifold. We also show that this result is sharp.

Keywords

Cite

@article{arxiv.1111.6530,
  title  = {Vanishing order of solutions to Schrodinger equation},
  author = {Laurent Bakri},
  journal= {arXiv preprint arXiv:1111.6530},
  year   = {2011}
}

Comments

Adding a crucial reference ([10] in the list) where a similar work of C. A. Kenig has been done. Though, both the upper bound and its sharpen are already known, our method is a bit more general, and give a slightly more specific example