Blow-up behavior for semilinear heat equations: Multi-dimensional case

DOI10.1216/rmjm/1181072494zbMath0801.35048OpenAlexW2048596446MaRDI QIDQ1328238

Wenxiong Liu

Publication date: 4 July 1994

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072494

zbMATH Keywords

weighted Sobolev space

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic equations (35K15)

Related Items (4)

Asymptotics of blowup for weakly quasilinear parabolic problems ⋮ A Simplified Approach to the Refined Blowup Behavior for the Nonlinear Heat Equation ⋮ Blow-up profiles for the parabolic-elliptic Keller-Segel system in dimensions ${n\geq 3}$ ⋮ Facing low regularity in chemotaxis systems

Cites Work

• A description of self-similar blow-up for dimensions n\(\geq 3\)
• The blow-up rate of solutions of semilinear heat equations
• Anisotropic singularities of solutions of nonlinear elliptic equations in \({\mathbb{R}}^ 2\)
• A maximum entropy approach for the busy period of the \(M/G/1\) retrial queue
• Nondegeneracy of blowup for semilinear heat equations
• Asymptotically self‐similar blow‐up of semilinear heat equations
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