Liouville Type Theorems for Fractional Parabolic Problems

被引：0
|
作者：
Duong, Anh Tuan [1 ]
Nguyen, Van Hoang [2 ]
机构：
[1] Hanoi Univ Sci & Technol, Sch Appl Math & Informat, 1 Dai Co Viet, Hai Ba Trung, Ha Noi, Vietnam
[2] FPT Univ, Dept Math, Hanoi, Vietnam
来源：
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2023年 / 35卷 / 04期
关键词：
Liouville-type theorem; Fractional parabolic system; Fractional parabolic inequality; Fujita result; Critical exponent; BLOW-UP; ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; LOCAL BEHAVIOR; SYSTEMS; NONEXISTENCE; LAPLACIAN; SYMMETRY; DECAY;
D O I：
10.1007/s10884-021-10082-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is twofold. Firstly, we establish optimal Liouville type theorems for nonnegative or positive supersolutions of the fractional parabolic equation u(t) + (-Delta)(s)u = u(p) on the whole space R-N x R, where p is an element of R and 0 < s < 1. Secondly, we study similar questions for the fractional parabolic system {u(t) + (-Delta)(s)u = v(p), v(t) + (-Delta)(s)v = u(q) where p and q are real numbers.
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页码：3187 / 3200
页数：14
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