On the blow up of solutions for hyperbolic equation involving the fractional Laplacian with source terms

被引：0
作者：
Bounaama, Abir [1 ]
Maouni, Messaoud [1 ]
Zeghbib, Fatima Zohra [1 ]
机构：
[1] Univ 20 August 1955, Fac Sci, Lab Appl Math & Hist & Didact Math LAMAHIS, Skikda, Algeria
来源：
JOURNAL OF MATHEMATICAL MODELING | 2024年 / 12卷 / 02期
关键词：
Blow up; energy function; hyperbolic equation; fractional Laplacian; source terms; fractional Sobolev spaces; GLOBAL-SOLUTIONS; WAVE-EQUATIONS; NONEXISTENCE; DECAY;
D O I：
10.22124/jmm.2023.25236.2241
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the blow-up of solutions for hyperbolic equations involving the fractional Laplacian operator with damping and source terms. We obtain the global existence results. Then, we observe the blow-up of solutions using the concavity method. Finally, we present some numerical simulation results.
引用
收藏
页码：267 / 276
页数：10
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