Estimations Asymptotiques du Noyau de la Chaleur Pour L'operateur de Grushin

被引：4
作者：
Li, Hong-Quan [1 ]
机构：
[1] Fudan Univ, Minist Educ, Sch Math Sci, Key Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2012年 / 37卷 / 05期
关键词：
Asymptotic property; Grushin operator; Heat Kernel; SOBOLEV-POINCARE INEQUALITIES; HEAT KERNEL; HEISENBERG-GROUP; SUBELLIPTIC OPERATORS; RIESZ TRANSFORM; BOUNDS; GRADIENT;
D O I：
10.1080/03605302.2011.600800
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
On etudie la propriete asymptotique du noyau de la chaleur pour l'operateur de Grushin Delta(G) = Delta(x) + vertical bar x vertical bar(2)Delta(u) sur R-r(n) x R-u(n)' avec n >= 3 et n' = 1. We study the asymptotic property for the heat kernel for the Grushin operator Delta(G) = Delta(x) + vertical bar x vertical bar(2)Delta(u) on R-x(n) x R-u(n)' with n >= 3 and n' = 1.
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收藏
页码：794 / 832
页数：39
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