Critical exponents for the fast diffusion equation with a nonlinear boundary condition

DOI10.1016/j.jmaa.2019.123526zbMath1427.35145OpenAlexW2975811782MaRDI QIDQ2011234

Ryuichi Sato, Jin Takahashi

Publication date: 28 November 2019

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.2019.123526

zbMATH Keywords

Blow-upCritical exponentsFast diffusion equationNonlinear boundary condition

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65) Blow-up in context of PDEs (35B44)

Cites Work

• Critical curves for multidimensional nonlinear diffusion equations coupled by nonlinear boundary sources
• Critical exponents for nonlinear diffusion equations with nonlinear boundary sources
• Diffusivity versus absorption through the boundary
• On critical Fujita exponents for the porous medium equation with a nonlinear boundary condition
• The blow-up profile for a fast diffusion equation with a nonlinear boundary condition
• On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary
• The role of critical exponents in blow-up theorems: The sequel
• Asymptotic simplification for a reaction-diffusion problem with a nonlinear boundary condition
• Global Behavior of Positive Solutions to Nonlinear Diffusion Problems with Nonlinear Absorption Through the Boundary
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