On unique continuation of solutions of Schr\"odinger equations

L. Escauriaza; C. E. Kenig; G. Ponce; L. Vega

On unique continuation of solutions of Schr\"odinger equations

Analysis of PDEs 2016-09-07 v1

Authors: L. Escauriaza , C. E. Kenig , G. Ponce , L. Vega

Abstract

We study uniqueness properties of solutions of Schr\"odinger equations. The aim is to obtain sufficient conditions on the decay behavior of the difference of two solution $u_1-u_2$ of the equation at two different times $t_0=0$ and $t_1=1$ which guarantee the uniqueness of the solution, i.e. that $u_1\equiv u_2$ .

Keywords

schrödinger equations unique continuation uniqueness of solutions decay estimates initial and final times

Cite

@article{arxiv.math/0509199,
  title  = {On unique continuation of solutions of Schr\"odinger equations},
  author = {L. Escauriaza and C. E. Kenig and G. Ponce and L. Vega},
  journal= {arXiv preprint arXiv:math/0509199},
  year   = {2016}
}

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