A blow-up criterion for a degenerate parabolic problem due to a concentrated nonlinear source

DOI10.1090/S0033-569X-07-01082-9zbMath1157.35409OpenAlexW2053538775MaRDI QIDQ5302836

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Publication date: 13 January 2009

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.ams.org/distribution/qam/2007-65-04/S0033-569X-07-01082-9/home.html

zbMATH Keywords

semilinear equationDirac delta functioncritical position

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (5)

Blow-up criteria for a parabolic problem due to a concentrated nonlinear source on a semi-infinite interval ⋮ Existence of a solution for the problem with a concentrated source in a subdiffusive medium ⋮ Existence of solution for the problem with a concentrated source in a subdiffusive medium ⋮ Adaptive decomposition finite difference methods for solving singular problems -- a review ⋮ A class of degenerate parabolic equations with a concentrated nonlinear source

Cites Work

• Explosion in a diffusive strip due to a source with local and nonlocal features
• Explosion in a diffusive strip due to a concentrated nonlinear source
• Channel flow of a viscous fluid in the boundary layer
• Single-point blow-up for a degenerate parabolic problem due to a concentrated nonlinear source
• Quenching for a degenerate parabolic problem due to a concentrated nonlinear source

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