The mean-value theorem for elliptic operators on stratified sets

Autor:	O. M. Penkin, S. N. Oshchepkova
Rok vydání:	2007
Předmět:	Set (abstract data type) Elliptic operator Maximum principle Subharmonic function Harmonic function General Mathematics Mean value theorem (divided differences) Mathematical analysis Radius Differential (infinitesimal) Mathematics
Zdroj:	Mathematical Notes. 81:365-372
ISSN:	1573-8876 0001-4346
DOI:	10.1134/s0001434607030108
Popis:	In this paper, an analog of the mean-value theorem for harmonic functions is proved for an elliptic operator on the stratified set of “stratified” spheres whose radius is sufficiently small. In contrast to the classical case, the statement of the theorem has the form of a special differential relationship between the mean values over different parts of the sphere. The result is used to prove the strong maximum principle.
Databáze:	OpenAIRE
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