Mean value properties of solutions of linear partial differential equations

被引：0

作者：

Meshkov V.Z. ^{[1
]}

Polovinkin I.P. ^{[1
]}

机构：

[1] Voronezh State University, Voronezh

来源：

Journal of Mathematical Sciences | 2009年 / 160卷 / 1期

关键词：

Harmonic Function; Elliptic Equation; Regular Solution; Hyperbolic Equation; Helmholtz Equation;

D O I：

10.1007/s10958-009-9483-2

中图分类号：

学科分类号：

摘要：

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. © 2009 Springer Science+Business Media, Inc.

引用

页码：45 / 52

页数：7

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