An extension of maximum principle with some applications

被引：1
|
作者：
PARSIAN, Ali [1 ]
机构：
[1] Tafresh Univ, Dept Math, Tafresh, Iran
来源：
TURKISH JOURNAL OF MATHEMATICS | 2021年 / 45卷 / 01期
关键词：
Boundary behavior; elliptic operator; maximum principle; positive definite matrix; FRACTIONAL DIFFUSION-EQUATIONS; ELLIPTIC-SYSTEMS; P-LAPLACIAN; TIME; EXISTENCE;
D O I：
10.3906/mat-1910-61
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let U subset of R-n (res. D subset of R-n) be an open (res. a compact) subset, and let L be an elliptic operator defined on C-2(U, R) (res. C-2(D, R) ). In the present paper, we are going to extend the maximum principle for the function f is an element of C-2(U, R) (res. f is an element of C-2(D, R) ) satisfying the equation Lf = epsilon, where epsilon is a real everywhere nonzero continuous function on U (res. D ). Finally, we obtain some applications in mathematics and physics.
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页码：66 / 80
页数：15
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