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A Variational Formulation for Dirac Operators in Bounded Domains. Applications to Spectral Geometric Inequalities

Pedro R. S. Antunes, Rafael D. Benguria, Vladimir Lotoreichik, Thomas Ourmières-Bonafos

2021Communications in Mathematical Physics14 citationsDOIOpen Access PDF

Topics & Concepts

Bounded functionMathematicsDirac (video compression format)Dirac operatorType (biology)Operator (biology)Domain (mathematical analysis)Simple (philosophy)Mathematical analysisBoundary (topology)Spectrum (functional analysis)Pure mathematicsCharacterization (materials science)Operator theoryBoundary value problemVariational inequalityEssential spectrumSpectral propertiesSpectral asymmetryBounded operatorNumerical analysisSpectral theoryComplex systemEigenvalues and eigenvectorsGeneralizationApplied mathematicsNumerical methods in inverse problemsNumerical methods in engineeringNonlinear Partial Differential Equations