The essential self-adjointness of Schrödinger operators on domains with non-empty boundary

DOI10.1007/S00229-016-0820-8zbMath1369.47024OpenAlexW2292161740MaRDI QIDQ309258

Adam D. Ward

Publication date: 7 September 2016

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-016-0820-8

zbMATH Keywords

Schrödinger operatoressential self-adjointnesspotential structure

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (2)

On geometric quantum confinement in Grushin-type manifolds ⋮ ON THE VARIATIONAL CONSTANT ASSOCIATED TO THE -HARDY INEQUALITY

Cites Work

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• On confining potentials and essential self-adjointness for Schrödinger operators on bounded domains in \(\mathbb R^n\)
• Uniqueness of the self-adjoint extension of singular elliptic differential operators
• Weighted Hardy inequalities and the size of the boundary
• The essential self-adjointness of Schrödinger-type operators
• Introduction to spectral theory. With applications to Schrödinger operators
• Pointwise Hardy inequalities and uniformly fat sets
• A unified approach to improved $L^p$ Hardy inequalities with best constants
• Hardy’s inequality and the boundary size
• Characterizations for the Hardy Inequality

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