English

The BMS conjecture

Differential Geometry 2017-09-25 v1 Analysis of PDEs

Abstract

I explain an open conjecture by Braverman/Milatovic/Shubin (BMS) on the positivity of square integrable solutions ff of (Δ+1)f0(-\Delta+1)f\geq 0 on a geodescially complete Riemannian manifold, and its connection to essential self-adjointness problems of covariant Schr\"odinger operators. The latter conjecture has remained open for more than 14 years now.

Cite

@article{arxiv.1709.07463,
  title  = {The BMS conjecture},
  author = {Batu Güneysu},
  journal= {arXiv preprint arXiv:1709.07463},
  year   = {2017}
}
R2 v1 2026-06-22T21:51:03.117Z