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

页码：5268 / 5286

页数：19

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