Essential self-adjointness of powers of first-order differential operators on non-compact manifolds with low-regularity metrics

DOI10.1016/j.jfa.2017.09.001zbMath1377.58029arXiv1606.06190OpenAlexW2756364204MaRDI QIDQ2410354

Hemanth Saratchandran, Lashi Bandara

Publication date: 17 October 2017

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.06190

zbMATH Keywords

elliptic operatoressential self-adjointnessnegligible boundaryrough metric

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) General theory of partial differential operators (47F05) Elliptic equations on manifolds, general theory (58J05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (5)

Self-adjointness, \(m\)-accretivity, and separability for perturbations of Laplacian and bi-Laplacian on Riemannian manifolds ⋮ Inequalities and separation for covariant Schrödinger operators ⋮ Essential self-adjointness of symmetric first-order differential systems and confinement of Dirac particles on bounded domains in \({\mathbb{R}}^d\) ⋮ On the global limiting absorption principle for massless Dirac operators ⋮ Essential self-adjointness for covariant tri-harmonic operators on manifolds and the separation problem

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