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

[摘要] We give the asymptotics at infinity of a Green function for an elliptic equation with periodic coefficients on R-d. 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 R-d with respect to an elliptic equation with periodic coefficients by using the exact asymptotics at infinity of the Green function. (C) 2003 Elsevier Inc. All rights reserved.

[发布日期] 2003-11-20

[关键词] Green function;elliptic equation;periodic coefficients;Martin boundary