Lower bounds for self-adjoint Sturm–Liouville operators

DOI10.1090/proc/16523arXiv2212.09837MaRDI QIDQ6049980

Friedrich Gesztesy, Jussi Behrndt, Carsten Trunk, Philipp Schmitz

Publication date: 11 October 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.09837

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05)

Cites Work

• Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials
• Spectral bounds for indefinite singular Sturm-Liouville operators with uniformly locally integrable potentials
• Sharp spectral bounds for complex perturbations of the indefinite Laplacian
• Differential equations with non oscillatory eigenfunctions
• Halbbeschränkte gewöhnliche Differentialoperatoren zweiter Ordnung
• Bounds on complex eigenvalues and resonances
• Eigenvalue bounds for Schrödinger operators with complex potentials. III
• Eigenvalue bounds for Schrödinger operators with complex potentials
• The Lieb–Thirring inequalities: Recent results and open problems
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