Global solution for wave equation involving the fractional Laplacian with logarithmic nonlinearity

被引：0
|
作者：
Younes, Bidi [1 ,2 ]
Beniani, Abderrahmane [3 ]
Zennir, Khaled [4 ]
Hajjej, Zayd [5 ]
Zhang, Hongwei [6 ]
机构：
[1] Univ Djillali Liabes Sidi Bel Abbes, Coll Sci, Dept Math, BP 89, Sidi Bel Abbes 22000, Algeria
[2] Univ Ain Temouchent, Ecole Normale Super Laghouat, Lab Math Pures & Appl, Ain Temouchent 46000, Algeria
[3] Univ Ain Temouchent, Fac Sci & Technol, Engn & Sustainable Dev Lab, Ain Temouchent 46000, Algeria
[4] Univ 20 Aout 1955 Skikda, Fac Sci, Dept Math, Skikda 21000, Algeria
[5] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia
[6] Henan Univ Technol, Dept Math, Zhengzhou 450001, Peoples R China
来源：
ELECTRONIC RESEARCH ARCHIVE | 2024年 / 32卷 / 09期
关键词：
fractional Laplacian; differential ff erential equations; global existence; partial differential ff erential equations; logarithmic nonlinearity; Galerkin approximations; EXISTENCE; SYSTEM;
D O I：
10.3934/era.2024243
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct the global existence for a wave equation involving the fractional Laplacian with a logarithmic nonlinear source by using the Galerkin approximations. The corresponding results for equations with classical Laplacian are considered as particular cases of our assertions.
引用
收藏
页码：5268 / 5286
页数：19
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