Multi-dimensional explosion due to a concentrated nonlinear source

DOI10.1016/j.jmaa.2004.03.029zbMath1049.35055OpenAlexW1987190086MaRDI QIDQ1876714

Yanyan Li

Publication date: 20 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.03.029

zbMATH Keywords

blow-upfirst boundary problem, existence and uniqueness

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (8)

A semilinear heat equation with a localized nonlinear source and non-continuous initial data ⋮ The porous medium equation with a concentrated nonlinear source ⋮ A multi-dimensional quenching problem due to a concentrated nonlinear source in \(\mathbb R^N\) ⋮ 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 ⋮ A criterion for a multi-dimensional explosion due to a concentrated nonlinear source ⋮ 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
• Explosion in a diffusive strip due to a concentrated nonlinear source
• A diffusion equation with localized chemical reactions

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