Trace properties of the Dirichlet Laplacian
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Publication:1063185
DOI10.1007/BF01304212zbMath0573.35072MaRDI QIDQ1063185
Publication date: 1985
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/173535
regularity conditionDirichlet Laplaciantrace inequalitiesgeometrical conditionsGolden-Thomson inequality
Boundary value problems for second-order elliptic equations (35J25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of partial differential operators (47F05)
Related Items (10)
The Hardy–Rellich inequality for polyharmonic operators ⋮ On the asymptotics of the heat equation and bounds on traces associated with the Dirichlet Laplacian ⋮ Heat flow out of regions in \({\mathbb{R}}^ m\) ⋮ Refined asymptotic expansion for the partition function of unbounded quantum billiards ⋮ Eigenvalue asymptotics of the Neumann Laplacian of regions and manifolds with cusps ⋮ Spectral properties of Neumann Laplacian of horns ⋮ Spectral asymptotics with a remainder estimate of the Neumann Laplacian on horns: the case of the rapidly growing counting function ⋮ On the spectrum of the Dirichlet Laplacian for Horn-shaped regions in \(R^ n\) with infinite volume ⋮ On the eigenvalue counting function for weighted Laplace-Beltrami operators ⋮ The eigenvalue distribution of degenerate Dirichlet forms
Cites Work
- Nonclassical eigenvalue asymptotics
- Some quantum operators with discrete spectrum but classically continuous spectrum
- Comportement asymptotique des valeurs propres d'opérateurs du type Schrödinger à potentiel dégénérée
- On the spectrum of the Dirichlet Laplacian for Horn-shaped regions in \(R^ n\) with infinite volume
- The asymptotic distribution of eigenvalues of the Laplace operator in an unbounded domain
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