Asymptotic behaviour of solutions of ut = Δum − up AS p → ∞

DOI10.1016/0362-546X(93)90109-6zbMath0814.35048OpenAlexW2122102204MaRDI QIDQ4274526

Kin Ming Hui

Publication date: 6 January 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(93)90109-6

zbMATH Keywords

Cauchy problemnonlinear heat equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55)

Related Items (3)

Singular limit of the generalized Burgers equation with absorption ⋮ Large time behavior of free boundary for a degenerate parabolic equation with absorption ⋮ Singular limit of solutions of the porous medium equation with absorption

Cites Work

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• Source-type solutions of degenerate diffusion equations with absorption
• Non-negative solutions of generalized porous medium equations
• On new exact blow-up solutions for nonlinear heat conduction equations with source and applications
• A very singular solution of the porous media equation with absorption
• A Fatou Theorem for Solutions of the Porous Medium Equation
• The One-Dimensional Nonlinear Heat Equation with Absorption: Regularity of Solutions and Interfaces
• Degenerate parabolic equations with general nonlinearities
• The propagation of disturbances in problems of non-linear heat conduction with absorption
• Continuity of solutions of a singular parabolic equation

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