Entropy solutions to the fully nonlocal diffusion equations

被引：0
|
作者：
Li, Ying [1 ]
Zhang, Chao [2 ,3 ]
机构：
[1] Harbin Inst Technol, Sch Math, Harbin, Peoples R China
[2] Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China
[3] Harbin Inst Technol, Inst Adv Study Math, Harbin 150001, Peoples R China
来源：
MATHEMATISCHE NACHRICHTEN | 2024年 / 297卷 / 11期
基金：
中国国家自然科学基金;
关键词：
entropy solution; existence; fractional partial differential equations; L-1-data; nonlocal diffusion; FRACTIONAL DIFFUSION; WEAK SOLUTIONS; INTEGRODIFFERENTIAL EQUATIONS; SUBDIFFUSION EQUATIONS; PARABOLIC PROBLEM; EXISTENCE; UNIQUENESS; LAPLACIAN; BEHAVIOR; GUIDE;
D O I：
10.1002/mana.202400130
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the fully nonlocal diffusion equations with nonnegative L-1-data. Based on the approximation and energy methods, we prove the existence and uniqueness of nonnegative entropy solutions for such problems. In particular, our results are valid for the time-space fractional Laplacian equations.
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页码：4003 / 4030
页数：28
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