When the 3D Magnetic Laplacian Meets a Curved Edge in the Semiclassical Limit

DOI10.1137/130906003zbMath1345.35110OpenAlexW1987991599MaRDI QIDQ2855130

Nicolas Popoff, Nicolas Raymond

Publication date: 24 October 2013

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130906003

zbMATH Keywords

asymptotic expansionsBorn-Oppenheimer approximationsemi-classical approximationGinzburg-Landau theory of superconductivityNeumann boundary-value problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Asymptotic expansions of solutions to PDEs (35C20) Ginzburg-Landau equations (35Q56)

Related Items (5)

Magnetic WKB constructions ⋮ Breaking a magnetic zero locus: Asymptotic analysis ⋮ A 3D-Schrödinger operator under magnetic steps with semiclassical applications ⋮ Peak power in the 3D magnetic Schrödinger equation ⋮ Geometry and spectrum in 2D magnetic wells

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