Finite-time blow-up for inhomogeneous parabolic equations with nonlinear memory

DOI10.1080/17476933.2019.1704280zbMath1460.35051OpenAlexW2995469151WikidataQ126532215 ScholiaQ126532215MaRDI QIDQ5856113

Awatif Alqahtani, Bessem Samet, Mohamed Jleli

Publication date: 24 March 2021

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2019.1704280

zbMATH Keywords

blow-upcritical exponentnonlinear memoryinhomogeneous parabolic equation

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Integro-partial differential equations (35R09)

Related Items (1)

Nonexistence of global solutions for an inhomogeneous pseudo-parabolic equation

Cites Work

• Unnamed Item
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• Blow-up results and global existence of positive solutions for the inhomogeneous evolution \(p\)-Laplacian equations
• The critical exponents for the quasi-linear parabolic equations with inhomogeneous terms
• Existence and non-existence of global solutions for a semilinear heat equation
• Blow up and global existence of solutions to an inhomogeneous parabolic system
• A new critical phenomenon for semilinear parabolic problems
• On blow-up results for solutions of inhomogeneous evolution equations and inequalities.
• Critical exponents of Fujita type for inhomogeneous parabolic equations and systems
• Global nonexistence for the Cauchy problem of some nonlinear reaction-diffusion systems
• An equation whose Fujita critical exponent is not given by scaling

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