The Inverse Problem for Asgeirsson's Mean Value Equality
Received:October 03, 1989  
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Fund ProjectL:The Project supported by National Natural Science Foundation of China.
Author NameAffiliation
Lu Zhengyi Department of Mathematics
Sichuan University
Chengdu 
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Abstract:
      For the linear partial differential operator with constant coefficients (?),the sufficient and necessary conditions for all Cm solutions u(x, y)of equation ( 4 ) satisfying Asgeirsson's mean value equality ( 2 ) are that Lx=c+a△x where a(≠ 0 ), c are constants,△x is the Laplacian.
Citation:
DOI:10.3770/j.issn:1000-341X.1991.03.021
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