On a reverse Hölder inequality for Schrödinger operators

2018/08/26 by Seongyeon Kim, Kim, Seongyeon, Ihyeok Seo +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1808.08516

openalex publication_date 2018/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain a reverse Hölder inequality for the eigenfuctions of the Schrödinger operator with slowly decaying potentials. The class of potentials includes singular potentials which decay like |x|^-α with 0

Related

• Regularity properties of Schrödinger operators
• Improved eigenvalue bounds for Schrödinger operators with slowly decaying potentials
• Stability estimates for the lowest eigenvalue of a Schrödinger operator
• Semiclassical estimates for Schrödinger operators with Neumann boundary conditions on Hölder domains
• Schrodinger operators with slowly decaying Wigner--von Neumann type potentials