EXISTENCE AND BLOW UP FOR A NONLINEAR VISCOELASTIC HYPERBOLIC PROBLEM WITH VARIABLE EXPONENTS

DOI10.22190/FUMI2003647MzbMath1488.35087OpenAlexW3096045449WikidataQ115496326 ScholiaQ115496326MaRDI QIDQ5010207

Ali Hakem, Fatima Zohra Mahdi

Publication date: 24 August 2021

Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22190/fumi2003647m

zbMATH Keywords

weak solutionsblow upvariable exponents

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (1)

General decay and blow up of solutions for a class of inverse problem with elasticity term and variable‐exponent nonlinearities

Cites Work

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• New diffusion models in image processing
• Parabolic quasilinear equations minimizing linear growth functionals
• Higher integrability for parabolic equations of \(p(x,t)\)-Laplacian type
• Existence and uniform decay for a non-linear viscoelastic equation with strong damping
• Wave equation with p(x,t)-Laplacian and damping term: existence and blow-up
• Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
• Variable Exponent, Linear Growth Functionals in Image Restoration

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