English

Davies-Harrell Representations, Otelbaev's Inequalities

Classical Analysis and ODEs 2007-05-23 v1

Abstract

We find an asymptotics on the diagonal of the Green function of a Sturm-Liouville operator and give its applications for Riccati equation.

Cite

@article{arxiv.math/0605608,
  title  = {Davies-Harrell Representations, Otelbaev's Inequalities},
  author = {N. A. Chernyavskaya and L. A. Shuster},
  journal= {arXiv preprint arXiv:math/0605608},
  year   = {2007}
}

Comments

31 pages. The shortened version of this paper is to be submitted to Journal of Mathematical Analysis and Applications