Extension theory for elliptic partial differential operators with pseudodifferential methods

zbMath1331.47069arXiv1008.1081MaRDI QIDQ2849110

Gerd Grubb

Publication date: 16 September 2013

Full work available at URL: https://arxiv.org/abs/1008.1081

zbMATH Keywords

elliptic boundary value problemsextension theorypseudodifferential boundary operatorsKrein resolvent formulaWeyl asymptotic formula

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) General theory of partial differential operators (47F05) Dilations, extensions, compressions of linear operators (47A20) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Pseudodifferential operators (47G30)

Related Items (6)

Spectral analysis of selfadjoint elliptic differential operators, Dirichlet-to-Neumann maps, and abstract Weyl functions ⋮ Unitary equivalence of proper extensions of a symmetric operator and the Weyl function ⋮ The mixed boundary value problem, Krein resolvent formulas and spectral asymptotic estimates ⋮ Inverse problems with partial data for elliptic operators on unbounded Lipschitz domains ⋮ Unnamed Item ⋮ Boundary conditions for the quantum Hall effect

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