Blow-Up of Certain Solutions to Nonlinear Wave Equations in the Kirchhoff-Type Equation with Variable Exponents and Positive Initial Energy

Blow-Up of Certain Solutions to Nonlinear Wave Equations in the Kirchhoff-Type Equation with Variable Exponents and Positive Initial Energy

This paper is concerned with the blow-up of certain solutions with positive initial energy to the following quasilinear wave equation: utt−MNutΔp·u+gut=fu. This work generalizes the blow-up result of solutions with negative initial energy.

Bibliographic Details
Main Authors: Loay Alkhalifa, Hanni Dridi, Khaled Zennir
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/5592918
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spelling doaj-3473e91b392244da82b6475897bf63132021-04-19T00:05:32ZengHindawi LimitedJournal of Function Spaces2314-88882021-01-01202110.1155/2021/5592918Blow-Up of Certain Solutions to Nonlinear Wave Equations in the Kirchhoff-Type Equation with Variable Exponents and Positive Initial EnergyLoay Alkhalifa0Hanni Dridi1Khaled Zennir2Department of MathematicsLaboratory of Applied MathematicsDepartment of MathematicsThis paper is concerned with the blow-up of certain solutions with positive initial energy to the following quasilinear wave equation: utt−MNutΔp·u+gut=fu. This work generalizes the blow-up result of solutions with negative initial energy.http://dx.doi.org/10.1155/2021/5592918
collection DOAJ
language English
format Article
sources DOAJ
author Loay Alkhalifa
Hanni Dridi
Khaled Zennir
spellingShingle Loay Alkhalifa
Hanni Dridi
Khaled Zennir
Blow-Up of Certain Solutions to Nonlinear Wave Equations in the Kirchhoff-Type Equation with Variable Exponents and Positive Initial Energy
Journal of Function Spaces
author_facet Loay Alkhalifa
Hanni Dridi
Khaled Zennir
author_sort Loay Alkhalifa
title Blow-Up of Certain Solutions to Nonlinear Wave Equations in the Kirchhoff-Type Equation with Variable Exponents and Positive Initial Energy
title_short Blow-Up of Certain Solutions to Nonlinear Wave Equations in the Kirchhoff-Type Equation with Variable Exponents and Positive Initial Energy
title_full Blow-Up of Certain Solutions to Nonlinear Wave Equations in the Kirchhoff-Type Equation with Variable Exponents and Positive Initial Energy
title_fullStr Blow-Up of Certain Solutions to Nonlinear Wave Equations in the Kirchhoff-Type Equation with Variable Exponents and Positive Initial Energy
title_full_unstemmed Blow-Up of Certain Solutions to Nonlinear Wave Equations in the Kirchhoff-Type Equation with Variable Exponents and Positive Initial Energy
title_sort blow-up of certain solutions to nonlinear wave equations in the kirchhoff-type equation with variable exponents and positive initial energy
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8888
publishDate 2021-01-01
description This paper is concerned with the blow-up of certain solutions with positive initial energy to the following quasilinear wave equation: utt−MNutΔp·u+gut=fu. This work generalizes the blow-up result of solutions with negative initial energy.
url http://dx.doi.org/10.1155/2021/5592918
work_keys_str_mv AT loayalkhalifa blowupofcertainsolutionstononlinearwaveequationsinthekirchhofftypeequationwithvariableexponentsandpositiveinitialenergy
AT hannidridi blowupofcertainsolutionstononlinearwaveequationsinthekirchhofftypeequationwithvariableexponentsandpositiveinitialenergy
AT khaledzennir blowupofcertainsolutionstononlinearwaveequationsinthekirchhofftypeequationwithvariableexponentsandpositiveinitialenergy
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