A parabolic approach to Martin boundaries for elliptic equations in skew product form
A parabolic approach to Martin boundaries for elliptic equations in skew product form
复制标题
斜积形式椭圆方程马丁边界的抛物线方法
DOI：
10.1007/s11118-013-9353-x
复制
发表时间：
2014
影响因子：
1.1
通讯作者：
N. Suzuki
中科院分区：
文献类型：
--
作者：
M. Murata;N. Suzuki
研究黎曼流形非紧域上椭圆型偏微分方程的正解。利用抛物型相关方程的抛物型马丁核，明确地确定了一类偏积型椭圆方程的马丁紧化和马丁核。
We consider positive solutions of elliptic partial differential equations on non-compact domains of Riemannian manifolds. We explicitly determine Martin compactifications and Martin kernels for a wide class of elliptic equations in skew product form by exploiting parabolic Martin kernels for associated parabolic equations.