Metaharmonic functions: Mean flux theorem, its converse and related properties

DOI10.1090/spmj/1699zbMath1485.35129arXiv2004.03433OpenAlexW3015439690WikidataQ113822511 ScholiaQ113822511MaRDI QIDQ5064491

No author found.

Publication date: 16 March 2022

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.03433

zbMATH Keywords

Helmholtz equationmean value theoremmetaharmonic functionsmean flux theorem

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (7)

Inverse mean value property of solutions to the modified Helmholtz equation ⋮ Inverse mean value properties (a survey) ⋮ On relations between harmonic and panharmonic functions ⋮ Panharmonic functions: mean value properties and related topics ⋮ Characterization of balls via solutions of the modified Helmholtz equation ⋮ Mean value properties of solutions to the Helmholtz and modified Helmholtz equations ⋮ Asymptotic mean value properties of meta- and panharmonic functions

Cites Work

• On the completeness of Ursell's trapping modes
• Characterization of harmonic functions by the behavior of means at a single point
• Mean value properties of harmonic functions and related topics (a survey)
• Harmonic Function Theory
• Uniqueness and trapped modes for surface-piercing cylinders in oblique waves
• Linear Water Waves
• Universal Inversion Formulas for Recovering a Function from Spherical Means
• Generalizations of the Gauss Law of the Spherical Mean
• Edge waves on a sloping beach
• Mean-Values and Harmonic Polynomials
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Metaharmonic functions: Mean flux theorem, its converse and related properties