Magnetic Neumann Laplacian on a sharp cone

DOI10.1007/s00526-014-0743-8zbMath1323.35111arXiv1309.2535OpenAlexW2076533786MaRDI QIDQ2347167

Virginie Bonnaillie-Noël, Nicolas Raymond

Publication date: 27 May 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.2535

zbMATH Keywords

eigenvalueasymptotic expansionNeumann boundary conditiondiscrete spectrummagnetic Laplacian

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (3)

Magnetic Laplacian in Sharp Three-dimensional Cones ⋮ Surface superconductivity in presence of corners ⋮ Spectral transitions for Aharonov-Bohm Laplacians on conical layers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Discrete spectrum of a model Schrödinger operator on the half-plane with Neumann conditions
• Spectral methods in surface superconductivity
• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• Upper critical field for superconductors with edges and corners
• Estimates of the upper critical field for the Ginzburg-Landau equations of superconductivity
• Surface nucleation of superconductivity in 3-dimensions
• Upper critical field and location of surface nucleation of superconductivity
• Peak power in the 3D magnetic Schrödinger equation
• Asymptotics for the low-lying eigenstates of the Schrödinger operator with magnetic field near corners
• The onset of superconductivity in a domain with a corner
• Breaking a magnetic zero locus: Asymptotic analysis
• The Breakdown of Superconductivity Due to Strong Fields for the Ginzburg--Landau Model
• Surface superconductivity in 3 dimensions
• Semiclassical 3D Neumann Laplacian with Variable Magnetic Field: A Toy Model
• SUPERCONDUCTIVITY IN DOMAINS WITH CORNERS
• The Schrödinger operator on an infinite wedge with a tangent magnetic field
• Bounds for the Discrete Part of the Spectrum of a Semi-Bounded Schrödinger Operator.
• Magnetic bottles in connection with superconductivity

This page was built for publication: Magnetic Neumann Laplacian on a sharp cone