A criterion for a multi-dimensional explosion due to a concentrated nonlinear source

DOI10.1016/J.AML.2005.04.010zbMath1090.35100OpenAlexW2057361282MaRDI QIDQ2488709

Yanyan Li

Publication date: 11 May 2006

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2005.04.010

zbMATH Keywords

semilinear equationfirst initial-boundary value problemblow up everywhere

Mathematics Subject Classification ID

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

Related Items (5)

The porous medium equation with a concentrated nonlinear source ⋮ A multi-dimensional blow-up problem due to a concentrated nonlinear source in $\mathbb {R}^{N}$ ⋮ 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 ⋮ A local theory for a fractional reaction-diffusion equation

Cites Work

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• Explosion in a diffusive strip due to a source with local and nonlocal features
• Multi-dimensional explosion due to a concentrated nonlinear source
• Explosion in a diffusive strip due to a concentrated nonlinear source
• A diffusion equation with localized chemical reactions

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