On the critical behavior for inhomogeneous parabolic differential inequalities in the half-space

DOI10.1016/j.aml.2021.107099zbMath1462.35474OpenAlexW3132752095MaRDI QIDQ2022274

Bessem Samet, Mohamed Jleli, Ravi P. Agarwal

Publication date: 28 April 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107099

zbMATH Keywords

critical exponenthalf-spacenonlinear memoryFujita critical exponent

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Critical exponents in context of PDEs (35B33) Partial differential inequalities and systems of partial differential inequalities (35R45) Semilinear parabolic equations (35K58) Integro-partial differential equations (35R09)

Cites Work

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• Blow-up of solutions of semilinear parabolic differential equations
• A new critical phenomenon for semilinear parabolic problems
• Fractional calculus and fractional differential equations in nonreflexive Banach spaces
• A general blow-up result on nonlinear boundary-value problems on exterior domains
• On nonexistence of global solutions of some semilinear parabolic differential equations
• On the necessary conditions of global existence to a quasilinear inequality in the half-space

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