On blow-up results for solutions of inhomogeneous evolution equations and inequalities.

DOI10.1016/j.jmaa.2003.09.002zbMath1061.35181OpenAlexW2043409178MaRDI QIDQ1426982

Vasilii V. Kurta, Athanassios G. Kartsatos

Publication date: 14 March 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.09.002

zbMATH Keywords

Liouville theoremcritical blow-up exponentblow-up results for nonnegative solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Abstract parabolic equations (35K90) Critical exponents in context of PDEs (35B33) Partial differential inequalities and systems of partial differential inequalities (35R45)

Related Items (4)

Nonexistence of global solutions for a nonlinear parabolic equation with a forcing term ⋮ Existence of solutions for an inhomogeneous fractional semilinear heat equation ⋮ Singular reaction diffusion equations of porous medium type ⋮ Finite-time blow-up for inhomogeneous parabolic equations with nonlinear memory

Cites Work

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• The role of critical exponents in blow-up theorems: The sequel
• Blow-up results for nonlinear parabolic equations on manifolds
• On a Comparison Principle and the Critical Fujita Exponents for Solutions of Semilinear Parabolic Inequalities
• The Role of Critical Exponents in Blowup Theorems
• On a Liouville-type theorem and the Fujita blow-up phenomenon

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