Resolvents of Elliptic Boundary Problems on Conic Manifolds

DOI10.1080/03605300600718412zbMath1387.35173arXivmath/0503021OpenAlexW1996962808MaRDI QIDQ3436037

Thomas Krainer

Publication date: 8 May 2007

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503021

zbMATH Keywords

boundary value problemsspectral theoryresolventselliptic and parabolic equationsmanifolds with conical singularitiesparametrices

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Boundary value problems for higher-order elliptic equations (35J40) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Degenerate elliptic equations (35J70) Elliptic equations on manifolds, general theory (58J05)

Related Items (6)

Extensions of symmetric operators that are invariant under scaling and applications to indicial operators ⋮ Spectral invariance of pseudodifferential boundary value problems on manifolds with conical singularities ⋮ Exotic expansions and pathological properties of \(\zeta\)-functions on conic manifolds ⋮ On the completeness of the generalized eigenfunctions of elliptic operators on manifolds with conical singularities ⋮ Bounded \(H_\infty\)-calculus for boundary value problems on manifolds with conical singularities ⋮ The fractional porous medium equation on manifolds with conical singularities. I

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Resolvents of elliptic cone operators
• Realizations of differential operators on conic manifolds with boundary
• Transformation of boundary problems
• Functional calculus of pseudodifferential boundary problems.
• Boundary problems for pseudo-differential operators
• Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds
• Differential operators of Fuchs type, conical singularities, and asymptotic methods
• Sobolev and Besov Space Estimates for Solutions to Second Order PDE on Lipschitz Domains in Manifolds with Dini or Hölder Continuous Metric Tensors
• Adjoints of elliptic cone operators

This page was built for publication: Resolvents of Elliptic Boundary Problems on Conic Manifolds