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A regularity result for a quasilinear equation and its consequences for blowing-up solutions of semilinear heat equations

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Publication:1201115
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DOI10.1016/0022-0396(92)90130-FzbMath0806.35017MaRDI QIDQ1201115

Hamid Bellout

Publication date: 17 January 1993

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


zbMATH Keywords

blow-up solutionsradial functionsemilinear heat equations


Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)




Cites Work

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  • Complete blow-up after \(T_{\max}\) for the solution of a semilinear heat equation
  • The blow-up rate of solutions of semilinear heat equations
  • Mathematical problems from combustion theory
  • Blow-Up Estimates for a Nonlinear Hyperbolic Heat Equation
  • A Criterion for Blow-Up of Solutions to Semilinear Heat Equations
  • A rescaling algorithm for the numerical calculation of blowing-up solutions
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