Asymptotics of Green functions and Martin boundaries for elliptic operators with periodic coefficients

Autor:	Minoru Murata, Tetsuo Tsuchida
Rok vydání:	2003
Předmět:	Quarter period Martin boundary Applied Mathematics Mathematical analysis Elliptic function Elliptic equation Jacobi elliptic functions Half-period ratio Elliptic curve Elliptic operator Green function Periodic coefficients Saddle point Elliptic rational functions Analysis Mathematics
Zdroj:	Journal of Differential Equations. 195(1):82-118
ISSN:	0022-0396
DOI:	10.1016/s0022-0396(03)00192-x
Popis:	We give the asymptotics at infinity of a Green function for an elliptic equation with periodic coefficients on Rd. Basic ingredients in establishing the asymptotics are an integral representation of the Green function and the saddle point method. We also completely determine the Martin compactification of Rd with respect to an elliptic equation with periodic coefficients by using the exact asymptotics at infinity of the Green function.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4acca05156cc1a641f8deead8e50fdab Zobrazit plný text záznamu Full Text from ScienceDirect