An observation on eigenfunctions of the Laplacian

DOI10.1007/S44007-024-00140-YMaRDI QIDQ6659511

Agnid Banerjee, Nicola Garofalo

Publication date: 9 January 2025

Published in: La Matematica (Search for Journal in Brave)

zbMATH Keywords

Liouville type theoremHelmholtz equationsharp decay of eigenfunctions

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Eigenvalue problems for linear operators (47A75) PDEs in connection with quantum mechanics (35Q40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Absence of positive eigenvalues for a class of subelliptic operators
• Lower bounds for solutions of Schrödinger equations
• Über das asymptotische Verhalten der Lösungen von \(\Delta u+\lambda u=0\) in unendlichen Gebieten
• Growth properties of solutions of the reduced wave equation with a variable coefficient
• Decay at Infinity of Solutions to Partial Differential Equations with Constant Coefficients

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