English

On the Local Smoothing for the Schroedinger Equation

Analysis of PDEs 2007-05-23 v1

Abstract

We prove a family of identities that involve the solutions to the free Schreodinger equation. As a consequence of these identities we shall deduce a lower bound for the local smoothing estimate and a uniqueness criterion.

Keywords

Cite

@article{arxiv.math/0609108,
  title  = {On the Local Smoothing for the Schroedinger Equation},
  author = {Luis Vega and Nicola Visciglia},
  journal= {arXiv preprint arXiv:math/0609108},
  year   = {2007}
}