The asymptotics of blow-up solutions to a degenerate parabolic equation

DOI10.1007/BF00946171zbMath0762.35055OpenAlexW1986938197MaRDI QIDQ1178449

Yuan-wei Qi

Publication date: 26 June 1992

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00946171

zbMATH Keywords

self-similar solutionsCauchy problemquasilinear parabolic equationstrong nonlinearityinvariant property of equationscaling invariant solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15)

Related Items (3)

Growth estimates and blow-up in quasilinear parabolic problems ⋮ Blow-up solutions and global solutions for nonlinear parabolic equations with mixed boundary conditions ⋮ Blow-up solutions and global solutions for nonlinear parabolic problems

Cites Work

• A description of self-similar blow-up for dimensions n\(\geq 3\)
• The existence of bounded solutions of a semilinear elliptic equation
• Concavity of solutions of nonlinear ordinary differential equations
• Asymptotically self‐similar blow‐up of semilinear heat equations
• The Existence of Bounded Solutions of a Semilinear Heat Equation
• The propagation of disturbances in problems of non-linear heat conduction with absorption
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