Asymptotic Behavior of Parabolic Nonlocal Equations in Cylinders Becoming Unbounded

被引:1
|
作者
Boudjeriou, Tahir [1 ]
机构
[1] Univ Boumerdes, Dept Basic Teaching, Inst Elect & Elect Engn, Boumerdes 35000, Algeria
关键词
Fractional Laplacian; Parabolic fractional problem; Asymptotic behavior of solutions; Expanding cylindrical domains; CYLINDRICAL DOMAINS; ELLIPTIC PROBLEMS; INEQUALITIES; SET;
D O I
10.1007/s40840-022-01426-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The goal of this paper is to discuss the asymptotic behavior of weak solutions to a class of parabolic equations involving fractional Laplacian in cylindrical domains becoming unbounded in one direction. The results presented in this paper are new and extend some main results in the literature for local and nonlocal elliptic problems with Dirichlet boundary condition.
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页数:25
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