Decay of eigenfunctions of elliptic PDE's. II.

DOI10.1016/j.aim.2016.10.018zbMath1364.35209OpenAlexW1996875329MaRDI QIDQ728219

Erik Skibsted, Ira W. Herbst

Publication date: 19 December 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2016.10.018

zbMATH Keywords

combinatoricseigenfunctionsexponential decaymicrolocal analysis

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Higher-order elliptic equations (35J30)

Related Items (4)

Decay estimates for bi-Schrödinger operators in dimension one ⋮ Decay estimates for fourth-order Schrödinger operators in dimension two ⋮ Decay of eigenfunctions of elliptic PDE's. I ⋮ Decay estimates for higher-order elliptic operators

Cites Work

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• Decay of eigenfunctions of elliptic PDE's. I
• Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators
• Hardy type inequalities with exponential weights for a class of convolution operators
• \(L^2\)-exponential lower bounds to solutions of the Schrödinger equation
• Exponential bounds and absence of positive eigenvalues for N-body Schrödinger operators
• On the absence of positive eigenvalues for one-body Schrödinger operators
• L²-lower bounds to solutions of one-body Schrödinger equations
• Asymptotic decay of the solution of a second-order elliptic equation in an unbounded domain. Applications to the spectral properties of a Hamiltonian
• Convex Analysis
• A-priori decay for eigenfunctions of perturbed periodic Schrödinger operators.

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