Self-adjointness of powers of elliptic operators on non-compact manifolds

DOI10.1007/BF01423612zbMath0235.47021MaRDI QIDQ2551951

Heinz-Otto Cordes

Publication date: 1972

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162229

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Global Riemannian geometry, including pinching (53C20)

Related Items

On essential self-adjointness of powers and comparison algebras ⋮ Self-adjointness, \(m\)-accretivity, and separability for perturbations of Laplacian and bi-Laplacian on Riemannian manifolds ⋮ Random fields on Riemannian manifolds: A constructive approach ⋮ On the instability of the n=1 Einstein–Yang–Mills black holes and mathematically related systems ⋮ Drift-diffusion equations on domains in \(\mathbb{R}^d\): essential self-adjointness and stochastic completeness ⋮ Essential self-adjointness of powers of first-order differential operators on non-compact manifolds with low-regularity metrics ⋮ Unnamed Item ⋮ Essential self‐adjointness of perturbed quadharmonic operators on Riemannian manifolds with an application to the separation problem ⋮ Continuity of families of Calderón projections ⋮ The C*-algebra of the \(n\)-dimensional harmonic oscillator ⋮ An algebra of singular integral operators with kernels of bounded oscillation, and application to periodic differential operators ⋮ Singularity structure of the two-point function in quantum field theory in curved spacetime. II ⋮ Kernels of elliptic operators: bounds and summability ⋮ On essential self-adjointness for magnetic Schrödinger and Pauli operators on the unit disc in \({\mathbb {R}^2}\) ⋮ Extensions of symmetric operators. I: The inner characteristic function case ⋮ KLEIN–GORDON SOLUTIONS ON NON-GLOBALLY HYPERBOLIC STANDARD STATIC SPACETIMES ⋮ Essential self-adjointness and self-adjointness for even order elliptic operators ⋮ SPECTRAL ANALYSIS AND TIME-DEPENDENT SCATTERING THEORY ON MANIFOLDS WITH ASYMPTOTICALLY CYLINDRICAL ENDS ⋮ A remark on essential self-adjointness of powers of an operator ⋮ Essential self-adjointness for semi-bounded magnetic Schrödinger operators on non-compact manifolds ⋮ The \(C^*\)-algebra of a singular elliptic problem on a noncompact Riemannian manifold ⋮ Liouville-type results and the \(C_ 0^{\infty}\)-core property for products of elliptic operators ⋮ Essential selfadjointness of singular elliptic operators ⋮ Essential self-adjointness of powers of generators of hyperbolic equations ⋮ Self-adjointness of certain second order differential operators on Riemannian manifolds ⋮ Self-adjoint extensions of differential operators on Riemannian manifolds ⋮ Self-adjointness of the Gaffney Laplacian on vector bundles ⋮ A geometric approach to the Landauer-Büttiker formula ⋮ Essential self-adjointness of perturbed biharmonic operators via conformally transformed metrics

Cites Work

• Unnamed Item
• Unnamed Item
• Halbbeschränkte partielle Differentialoperatoren zweiter Ordnung vom elliptischen Typus
• Erzeugung nuklearer lokalkonvexer Räume durch singuläre Differentialoperatoren zweiter Ordnung
• A special Stoke's theorem for complete Riemannian manifolds
• Wesentliche Selbstadjungiertheit singulärer elliptischer Differentialoperatoren zweiter Ordnung in $C_0^\infty(G)$.
• Note on a Paper by Stetkær-Hansen Concerning Essential Selfadjointness of Schroedinger Operators.
• Über den L<scp>APLACE</scp>‐Operator auf R<scp>IEMANNS</scp>chen Mannigfaltigkeiten mit diskontinuierlichen Gruppen
• The Harmonic Operator for Exterior Differential Forms
• On Ordinary Differential Equations of any Even Order and the Corresponding Eigenfunction Expansions