Critical curves for fast diffusion equations coupled via nonlinear boundary flux

DOI10.1186/s13660-015-0695-3zbMath1382.35126OpenAlexW1626654578WikidataQ59434987 ScholiaQ59434987MaRDI QIDQ264495

Zheng Qiu Ling

Publication date: 31 March 2016

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

Full work available at URL: https://doi.org/10.1186/s13660-015-0695-3

zbMATH Keywords

diffusion equationcritical Fujita curvecritical global existence curveNewtonian filtration equationnonlinear boundary flux

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

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• The role of critical exponents in blow-up theorems: The sequel
• Blow-up sets and Fujita type curves for a degenerate parabolic system with nonlinear boundary conditions
• The Role of Critical Exponents in Blowup Theorems
• Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations

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