scientific article; zbMATH DE number 978653
From MaRDI portal
Publication:4332838
zbMath0863.31012MaRDI QIDQ4332838
Publication date: 15 June 1997
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
surveybibliographyharmonic functionsmean value theoremsasymptotic mean value propertiesinverse mean value propertiesrestricted mean value properties
Heat equation (35K05) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)
Related Items (40)
Characterization of generalizedperiodic vector fields on hyperbolic space ⋮ Inverse mean value property of solutions to the modified Helmholtz equation ⋮ Inverse mean value properties (a survey) ⋮ On the characterization of harmonic and subharmonic functions via mean-value properties ⋮ Inverse mean value property of metaharmonic functions ⋮ Initial-boundary value problem for the heat equation -- a stochastic algorithm ⋮ Inversion Theorems for the local Pompeiu transformation in the quaternion hyperbolic space ⋮ Vector fields with zero flux through circles of fixed radius on $\mathbb{H}^2$ ⋮ Stability of the mean value formula for harmonic functions in Lebesgue spaces ⋮ Mean value integral equations and the Helmholtz equation ⋮ Variational approach to the asymptotic mean-value property for the \(p\)-Laplacian on Carnot groups ⋮ One-radius theorem for harmonic tempered distributions ⋮ Subharmonic functions in sub-Riemannian settings ⋮ RECOVERING THE LAPLACIAN FROM CENTERED MEANS ON BALLS AND SPHERES OF FIXED RADIUS ⋮ Weighted means and characterization of balls ⋮ Mean value property in limit for eigenfunctions of the Laplace–Beltrami operator ⋮ On the mean value property of fractional harmonic functions ⋮ Analogs of the Liouville property for harmonic functions on unbounded domains ⋮ Asymptotic mean value Laplacian in metric measure spaces ⋮ A characterization of harmonic functions by quadrature identities on annular domains and related results ⋮ Panharmonic functions: mean value properties and related topics ⋮ Harnack type inequality for positive solution of some integral equation ⋮ A characterization of heat balls by a mean value property for temperatures ⋮ Restricted mean value property for Balayage spaces with jumps ⋮ Characterization of balls via solutions of the modified Helmholtz equation ⋮ A priori Hölder and Lipschitz regularity for generalized \(p\)-harmonious functions in metric measure spaces ⋮ Asymptotic mean value properties of meta- and panharmonic functions ⋮ A local two-radii theorem on the sphere ⋮ Spherical means on two-point homogeneous spaces and applications ⋮ Choquet's theory and the Dirichlet problem. ⋮ Mean value properties of harmonic functions and related topics (a survey) ⋮ Continuous extension of functions from a segment to functions in \(\mathbb{R}^n\) with zero ball means ⋮ One-radius results for supermedian functions on \({\mathbb R^d} , d \leq \) 2 ⋮ Characterization by asymptotic mean formulas of \(q\)-harmonic functions in Carnot groups ⋮ Unnamed Item ⋮ Regularity properties for a class of non-uniformly elliptic Isaacs operators ⋮ Non-absolutely convergent generalized Laplacian ⋮ Analog of the mean-value theorem for polynomials of special form ⋮ ``Potato kugel for nuclear forces and a small one for acoustic waves ⋮ Mean value properties and unique continuation
This page was built for publication: