Blow-up and propagation of disturbances for fast diffusion equations

DOI10.1016/j.na.2007.04.030zbMath1145.35409OpenAlexW2013903473WikidataQ126264684 ScholiaQ126264684MaRDI QIDQ927960

Paul-Emile Maingé

Publication date: 10 June 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.04.030

zbMATH Keywords

Cauchy problemsufficient conditionsfast diffusionfinite blow-up timetechnique of subsolutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear boundary value problems for ordinary differential equations (34B15) Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15)

Related Items (2)

Fujita phenomenon in inhomogeneous fast diffusion system ⋮ Anomalous self-similar solutions of exponential type for the subcritical fast diffusion equation with weighted reaction

Cites Work

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• The critical exponents of parabolic equations and blow-up inRⁿ
• Asymptotics of the Fast-Diffusion Equation with Critical Exponent
• Self-similar behaviour for the equation of fast nonlinear diffusion

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