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Mean value properties of solutions of linear partial differential equations

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Abstract

The present paper suggests a uniform viewpoint to mean value theorems for linear elliptic and hyperbolic partial differential equations that, in a certain cases, allows one to obtain new mean value formulas. Also, the authors consider a method for obtaining mean value formulas for elliptic equations from those for hyperbolic equations.

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Authors and Affiliations

  1. Voronezh State University, Voronezh, Russia

    V. Z. Meshkov & I. P. Polovinkin

Authors
  1. V. Z. Meshkov
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  2. I. P. Polovinkin
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Correspondence to I. P. Polovinkin.

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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 57, Suzdal Conference–2006, Part 3, 2008.

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Meshkov, V.Z., Polovinkin, I.P. Mean value properties of solutions of linear partial differential equations. J Math Sci 160, 45–52 (2009). https://doi.org/10.1007/s10958-009-9483-2

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