Hardy-Carleman type inequalities for Dirac operators

DOI10.1063/1.4933241zbMath1325.81078arXiv1503.06491OpenAlexW3106513571MaRDI QIDQ3450562

Alexandra Enblom

Publication date: 6 November 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.06491

zbMATH Keywords

Agmon inequalityTreve type inequalities

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (2)

Sharp exponential decay for solutions of the stationary perturbed Dirac equation ⋮ Sampling and equidistribution theorems for elliptic second order operators, lifting of eigenvalues, and applications

Cites Work

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• Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
• Carleman inequalities for the Dirac and Laplace operators and unique continuation
• On the eigenvalues of operators with gaps. Application to Dirac operators
• An analytical proof of Hardy-like inequalities related to the Dirac operator
• Uniqueness theorems for second order elliptic differential equations
• Hardy-type estimates for Dirac operators
• Self-adjointness for Dirac operators via Hardy-Dirac inequalities
• Hardy type inequalities for abstract differential operators
• Pseudo‐differential operators

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