English

A note on eigenvalue bounds for Schr\"odinger operators

Analysis of PDEs 2018-10-09 v2

Abstract

We obtain a new bound on the location of eigenvalues for a non-self-adjoint Schr\"odinger operator with complex-valued potentials by obtaining a weighted L2L^2 estimate for the resolvent of the Laplacian.

Keywords

Cite

@article{arxiv.1808.04578,
  title  = {A note on eigenvalue bounds for Schr\"odinger operators},
  author = {Yoonjung Lee and Ihyeok Seo},
  journal= {arXiv preprint arXiv:1808.04578},
  year   = {2018}
}

Comments

To appear in J. Math. Anal. Appl., 8 pages

R2 v1 2026-06-23T03:33:07.754Z