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

页码：267 / 276

页数：10

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