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Applicable Analysis
An International Journal
Volume 96, 2017 - Issue 9: New Trends in PDEs and Applications: On the occasion of the 60th birthday of Professor Peter Alexander Markowich
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Articles

A blow-up result for a nonlinear wave equation with variable-exponent nonlinearities

Salim A. MessaoudiDepartment of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia.Correspondence[email protected]
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Ala A. TalahmehDepartment of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia.View further author information
Pages 1509-1515 | Received 25 Jun 2016, Accepted 19 Dec 2016, Published online: 10 Jan 2017

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Mohammad Kafini, Jamilu Hashim Hassan, Adel M. Al-Mahdi & Jamal H. Al-Smail. (2023) Existence and blow up time estimate for a nonlinear Cauchy problem with variable exponents: theory and numerics. International Journal of Computer Mathematics 100:6, pages 1228-1247.
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Tahir Boudjeriou. (2022) Global existence and blow-up of solutions for a parabolic equation involving the fractional p(x)-Laplacian. Applicable Analysis 101:8, pages 2903-2921.
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Samah Ghegal, Ilhem Hamchi & Salim A. Messaoudi. (2020) Global existence and stability of a nonlinear wave equation with variable-exponent nonlinearities. Applicable Analysis 99:8, pages 1333-1343.
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Salim A. Messaoudi, Mohammad M. Al‐Gharabli & Adel M. Al‐Mahdi. (2020) On the decay of solutions of a viscoelastic wave equation with variable sources. Mathematical Methods in the Applied Sciences 45:14, pages 8389-8411.
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Salim A. Messaoudi, Ala A. Talahmeh, Mohammad M. Al-Gharabli & Mohamed Alahyane. (2022) On the existence and stability of a nonlinear wave system with variable exponents. Asymptotic Analysis 128:2, pages 211-238.
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Salim A. Messaoudi & Ala A. Talahmeh. (2022) Blow up of negative initial-energy solutions of a system of nonlinear wave equations with variable-exponent nonlinearities. Discrete & Continuous Dynamical Systems - S 15:5, pages 1233.
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Ala A. Talahmeh, Salim A. Messaoudi & Mohamed Alahyane. (2021) Theoretical and numerical study of the blow up in a nonlinear viscoelastic problem with variable-exponent and arbitrary positive energy. Acta Mathematica Scientia 42:1, pages 141-154.
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Salim A. Messaoudi, Oulia Bouhoufani, Ilhem Hamchi & Mohamed Alahyane. (2021) Existence and blow up in a system of wave equations with nonstandard nonlinearities. Electronic Journal of Differential Equations 2021:01-104.
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Mohammad Shahrouzi & Firoozeh Kargarfard. (2021) Blow-up of solutions for a Kirchhoff type equation with variable-exponent nonlinearities. Journal of Applied Analysis 27:1, pages 97-105.
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Zakia Tebba, Hakima Degaichia, Mohamed Abdalla, Bahri Belkacem Cherif & Ibrahim Mekawy. (2021) Blow-Up of Solutions for a Class Quasilinear Wave Equation with Nonlinearity Variable Exponents. Journal of Function Spaces 2021, pages 1-9.
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Mohammad Shahrouzi. (2021) Global Nonexistence of Solutions for a Class of Viscoelastic Lamé System. Indian Journal of Pure and Applied Mathematics 51:4, pages 1383-1397.
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Salim A. Messaoudi. (2020) On the decay of solutions of a damped quasilinear wave equation with variable‐exponent nonlinearities. Mathematical Methods in the Applied Sciences 43:8, pages 5114-5126.
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Salim A. Messaoudi, Jamal H. Al-Smail & Ala A. Talahmeh. (2018) Decay for solutions of a nonlinear damped wave equation with variable-exponent nonlinearities. Computers & Mathematics with Applications 76:8, pages 1863-1875.
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Mohammad Shahrouzi. (2018) On behaviour of solutions for a nonlinear viscoelastic equation with variable-exponent nonlinearities. Computers & Mathematics with Applications 75:11, pages 3946-3956.
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Salim A. Messaoudi & Ala A. Talahmeh. (2017) On wave equation: review and recent results. Arabian Journal of Mathematics 7:2, pages 113-145.
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Fang Li & Fang Liu. (2018) Blow-up of solutions to a quasilinear wave equation for high initial energy. Comptes Rendus. Mécanique 346:5, pages 402-407.
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Salim A. Messaoudi & Ala A. Talahmeh. (2017) Blowup in solutions of a quasilinear wave equation with variable‐exponent nonlinearities. Mathematical Methods in the Applied Sciences 40:18, pages 6976-6986.
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