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

Loay Alkhalifa; Hanni Dridi; Khaled Zennir

doi:10.1155/2021/5592918

Journal of Function Spaces (Jan 2021)

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

Loay Alkhalifa,
Hanni Dridi,
Khaled Zennir

Affiliations

Loay Alkhalifa: Department of Mathematics, College of Sciences and Arts, Qassim University, Ar Rass, Saudi Arabia
Hanni Dridi: Laboratory of Applied Mathematics, Badji Mokhtar University, P.O. Box 12, 23000 Annaba, Algeria
Khaled Zennir: Department of Mathematics, College of Sciences and Arts, Qassim University, Ar Rass, Saudi Arabia

DOI: https://doi.org/10.1155/2021/5592918
Journal volume & issue: Vol. 2021

Abstract

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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.

Published in Journal of Function Spaces

ISSN: 2314-8896 (Print); 2314-8888 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/9303

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