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

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Bounaama Abir; Maouni Messaoud; Zeghbib Fatima Zohra

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Journal Paper

Paper Information

Journal: Journal of Mathematical Modeling Year:2024 | Volume:12 | Issue:2 Page(s): 267-276

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Title

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

Author(s)

Bounaama Abir | Maouni Messaoud | Zeghbib Fatima Zohra | Issue Writer Certificate

Keywords

Blow up

energy function

hyperbolic equation

fractional Laplacian

source terms

fractional Sobolev spaces

Abstract

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.

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