Biharmonic functions on Schrodinger networks

被引：2
作者：
Bajunaid, Ibtesam [1 ]
机构：
[1] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2024年 / 73卷 / 03期
关键词：
Infinite graphs; Discrete Schrodinger equation; Biharmonic functions; AXIOMATICS;
D O I：
10.1007/s12215-023-00979-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In an infinite graph X, the equation Delta u(x) = phi(x)u(x), phi(x) >= 0, is termed the Schrodinger equation. The solutions of this equation are named phi.-harmonic functions. This article studies varied aspects associated with these solutions: Harnack principle, minimum principle, domination principle, Dirichlet solution etc. The main thrust is the development of an abstract theory of discrete phi-biharmonic functions on X and use it for the phi-biharmonic classification of infinite graphs.
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收藏
页码：1277 / 1287
页数：11
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