Functions Satisfying a Weighted Average Property

DOI10.2307/1993973zbMath0136.09404OpenAlexW4246286530MaRDI QIDQ5509240

Anil K. Bose

Publication date: 1965

Full work available at URL: https://doi.org/10.2307/1993973

zbMATH Keywords

partial differential equations

Related Items (12)

Characterization of mean value harmonic functions on norm induced metric measure spaces with weighted Lebesgue measure ⋮ Frequently oscillating families related to subharmonic functions ⋮ Generalized Eigenfunctions of the Laplace Operator and Weighted Average Property ⋮ Functions Satisfying a Weighted Average Property. II ⋮ A Mean Value Property of Elliptic Equations with Constant Coefficients ⋮ Boundedness and Dimension for Weighted Average Functions ⋮ Asymptotic mean value Laplacian in metric measure spaces ⋮ Harmonic functions on metric measure spaces ⋮ Polytopes and the mean value property ⋮ Diffusive limit of a two-dimensional well-balanced approximation to a kinetic model of chemotaxis ⋮ Exact analytic solutions of transport equations ⋮ Asymptotically mean value harmonic functions in doubling metric measure spaces

Cites Work

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• Mean-values and polyharmonic polynomials
• Bodies for Which Harmonic Functions Satisfy the Mean Value Property
• Functions Satisfying the Mean Value Property
• Shorter Notes: On the Mean-Value Property of Harmonic Functions
• A mean value theorem for polynomials and harmonic polynomials
• A strong maximum principle for parabolic equations
• Mean-Values and Harmonic Polynomials

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