Inequalities and separation for the Laplace-Beltrami differential operator in Hilbert spaces

DOI10.1016/J.JMAA.2006.07.031zbMath1404.58035OpenAlexW2127636742MaRDI QIDQ2644001

Yanyan Li

Publication date: 27 August 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.07.031

zbMATH Keywords

Hilbert spacecoercive estimateseparationoperator potentialLaplace-Beltrami differential operator

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Elliptic equations on manifolds, general theory (58J05)

Related Items (8)

Separation for the biharmonic differential operator in the Hilbert space associated with the existence and uniqueness theorem ⋮ Solution estimates for one class of elliptic and parabolic nonlinear equations ⋮ КОЭРЦИТИВНАЯ ОЦЕНКА И ТЕОРЕМА РАЗДЕЛИМОСТИ ДЛЯ ОДНОГО НЕЛИНЕЙНОГО ДИФФЕРЕНЦИАЛЬНОГО ОПЕРАТОРА В ГИЛЬБЕРТОВОМ ПРОСТРАНСТВЕ ⋮ Unnamed Item ⋮ Magnetic bi-harmonic differential operators on Riemannian manifolds and the separation problem ⋮ Separation of the two dimensional Grushin operator by the disconjugacy property ⋮ Separation of the Grushin differential operator in weighted Hilbert spaces ⋮ On separability of non-linear Schrodinger operators with matrix potentials

Cites Work

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• Separation of the Schrödinger operator with an operator potential in the Hilbert spaces
• Separation for Schrodinger-type operators with operator potentials in Banach spaces
• Some Properties of the Domains of Certain Differential Operators
• On Some Properties of the Powers of a Formally Self-Adjoint Differential Expression

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