Existence and non-existence of a fast diffusion equation in \(\mathbb{R}^ n\)

DOI10.1006/JDEQ.1996.3246zbMath0876.35062OpenAlexW2048347051MaRDI QIDQ1358990

Yuan-wei Qi

Publication date: 2 November 1997

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1996.3246

zbMATH Keywords

asymptotic behaviourglobal existencefinite extinction

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for second-order parabolic equations (35K15)

Related Items (1)

Solvability of doubly nonlinear parabolic equation with \(p\)-Laplacian

Cites Work

• Nonlinear parabolic equations involving measures as initial conditions
• Nonexistence of solutions for nonlinear heat equations of fast-diffusion type
• Non-negative solutions to fast diffusions
• Nonuniqueness of solutions of a degenerate parabolic equation
• Non-negative solutions of theo porous medium eqation
• Continuity of the Density of a Gas Flow in a Porous Medium
• Asymptotic behavior of the nonlinear diffusion equation n t = (n−1n x)x
• A Singular Semilinear Equation in L 1 (R)
• A Nonlinear heat equation with singular diffusivity
• A limit case in nonlinear diffusion
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