Blow-up and global existence for semilinear parabolic systems with space-time forcing terms

DOI10.1016/j.chaos.2021.110982zbMath1486.34052arXiv2003.05526OpenAlexW3011883599MaRDI QIDQ2143599

Mohamed Jleli, Ahmad Z. Fino, Bessem Samet

Publication date: 31 May 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.05526

zbMATH Keywords

blow-upglobal existenceinhomogeneous parabolic systemspace-time forcing terms

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44)

Cites Work

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• Fujita phenomenon in inhomogeneous fast diffusion system
• Small perturbation of a semilinear pseudo-parabolic equation
• Critical behavior for a semilinear parabolic equation with forcing term depending on time and space
• The critical exponents for the quasi-linear parabolic equations with inhomogeneous terms
• Nonlinear partial differential equations. Asymptotic behavior of solutions and self-similar solutions
• Boundedness and blow up for a semilinear reaction-diffusion system
• On the growing problem for semilinear heat equations
• Blow up and global existence of solutions to an inhomogeneous parabolic system
• Critical exponents of Fujita type for inhomogeneous parabolic equations and systems
• Global nonexistence for the Cauchy problem of some nonlinear reaction-diffusion systems
• A blow-up result for a nonlinear wave equation with damping: The critical case
• Qualitative properties of solutions to a time-space fractional evolution equation

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