Hölder regularity of solutions for Schrödinger operators on stratified spaces

DOI10.1016/j.jfa.2015.02.003zbMath1316.35060arXiv1409.0154OpenAlexW2060270346MaRDI QIDQ2346106

Kazuo Akutagawa, Gilles Carron, Rafe R. Mazzeo

Publication date: 29 May 2015

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

Full work available at URL: https://arxiv.org/abs/1409.0154

zbMATH Keywords

iterated edge metricoptimal Hölder regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Elliptic equations on manifolds, general theory (58J05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (10)

Non-existence of Yamabe minimizers on singular spheres ⋮ Uniform Poincaré inequalities on measured metric spaces ⋮ Calabi‐Yau metrics with cone singularities along intersecting complex lines: The unstable case ⋮ Convergence of the Yamabe flow on singular spaces with positive Yamabe constant ⋮ An Obata singular theorem for stratified spaces ⋮ The local Yamabe constant of Einstein stratified spaces ⋮ Schauder estimates on products of cones ⋮ Stratified spaces and synthetic Ricci curvature bounds ⋮ Explicit Green operators for quantum mechanical Hamiltonians. II. Edge-type singularities of the helium atom ⋮ The Yamabe invariant

Cites Work

• Unnamed Item
• The Yamabe problem on stratified spaces
• Lipschitz continuity of solutions of Poisson equations in metric measure spaces
• Regularity and index theory for Dirac-Schrödinger systems with Lipschitz coefficients
• Lipschitz continuity of Cheeger-harmonic functions in metric measure spaces
• \(L^2\) cohomology and parabolicity
• The signature package on Witt spaces
• On global Sobolev inequalities
• Sobolev met Poincaré
• The Yamabe problem on Dirichlet spaces

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