On blow-up of solutions for quasilinear degenerate parabolic equations

DOI10.2977/prims/1195169267zbMath0789.35022OpenAlexW2071786428MaRDI QIDQ1187160

Takashi Imai, Kiyoshi Mochizuki

Publication date: 28 June 1992

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195169267

zbMATH Keywords

initial-boundary value problemquasilinear degenerate parabolic equationsconditions which ensure the blow-up of solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

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Cites Work

• Convergence, asymptotic periodicity, and finite-point blow-up in one- dimensional semilinear heat equations
• A note on the blowup-nonblowup problems in nonlinear parabolic equations
• Mathematical Analysis of Thermal Runaway for Spatially Inhomogeneous Reactions
• Stabilization of solutions of a degenerate nonlinear diffusion problem
• Asymptotically self‐similar blow‐up of semilinear heat equations
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