Blow-up criteria for a parabolic problem due to a concentrated nonlinear source on a semi-infinite interval

DOI10.1090/S0033-569X-2011-01255-0zbMath1235.35047OpenAlexW2083893161MaRDI QIDQ3225366

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Publication date: 19 March 2012

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

Full work available at URL: https://doi.org/10.1090/s0033-569x-2011-01255-0

zbMATH Keywords

global existenceconcentrated nonlinear sourcesemi-infinite intervalcritical positionsemilinear parabolic first initial-boundary value problemsingle blow-up point

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Related Items (2)

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

Cites Work

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• Classes of solutions of linear systems of partial differential equations of parabolic type
• Explosion in a diffusive strip due to a concentrated nonlinear source
• Single-point blow-up for a degenerate parabolic problem due to a concentrated nonlinear source
• A blow-up criterion for a degenerate parabolic problem due to a concentrated nonlinear source

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