Impulsive effects on global existence of solutions for degenerate semilinear parabolic equations

DOI10.1016/S0096-3003(96)00353-0zbMath0909.35079OpenAlexW1984890890MaRDI QIDQ1126686

S. H. Smith

Publication date: 30 March 1999

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(96)00353-0

zbMATH Keywords

blow-upquenchingcritical length

Mathematics Subject Classification ID

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) Partial functional-differential equations (35R10)

Related Items (6)

Single-point blow-up for a degenerate parabolic problem with a nonlinear source of local and nonlocal features. ⋮ Complete blow-up for degenerate semilinear parabolic equations ⋮ Impulsive quenching and blow-up of solutions ⋮ Complete blow-up of solutions for degenerate semilinear parabolic first initial-boundary value problems ⋮ ESTIMATES OF SOLUTIONS OF IMPULSIVE PARABOLIC EQUATIONS AND APPLICATION ⋮ Existence of classical solutions for degenerate semilinear parabolic problems

Cites Work

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• Blow-up at the boundary for degenerate semilinear parabolic equations
• Impulsive quenching for degenerate parabolic equations
• Channel flow of a viscous fluid in the boundary layer
• Impulsive quenching for reaction—diffusion equations
• Impulsive effects on global existence of solutions of semilinear heat equations
• Remarks on quenching

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