An asymptotic eigenvalue problem for a Schrödinger type equation on domains with boundaries

DOI10.1007/s13163-016-0197-yzbMath1359.35119OpenAlexW2344086966MaRDI QIDQ321239

Guido Sweers, Carlos Andrés Reyes

Publication date: 13 October 2016

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-016-0197-y

zbMATH Keywords

Schrödinger equationasymptotic behaviourprincipal eigenvalues

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Asymptotic expansions of solutions to PDEs (35C20) Second-order elliptic equations (35J15) Schrödinger operator, Schrödinger equation (35J10)

Related Items (2)

A Two-Dimensional “Flea on the Elephant” Phenomenon and its Numerical Visualization ⋮ Asymptotic Analysis and Numerical Method for Singularly Perturbed Eigenvalue Problems

Cites Work

• Semiclassical analysis of low lying eigenvalues. II: Tunneling
• Semiclassical analysis of low lying eigenvalues. III: Width of the ground state band in strongly coupled solids
• Semiclassical analysis of low lying eigenvalues. IV. The flea on the elephant
• Semi-classical analysis for the Schrödinger operator and applications
• Elliptic partial differential equations of second order
• Multiple wells in the semi-classical limit I
• Effet tunnel entre puits degeneres
• On eigencurves of elliptic boundary value problems
• Semiclassical analysis of general second order elliptic operators on bounded domains
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