Boundary behaviors of modified Green’s function with respect to the stationary Schrödinger operator and its applications

Boundary value problems

Zhiqiang Li¹ 

[1] Institute of Management Science and Engineering, Henan University, Kaifeng, China

关键词: boundary behavior;    modified Green’s function;    stationary Schrödinger operator;    cone;   

DOI  :  10.1186/s13661-015-0499-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we construct a modified Green’s function with respect to the stationary Schrödinger operator on cones. As applications, we not only obtain the boundary behaviors of generalized harmonic functions but also characterize the geometrical properties of the exceptional sets with respect to the Schrödinger operator.

【 授权许可】

CC BY