A multi-dimensional quenching problem due to a concentrated nonlinear source in \(\mathbb R^N\)

DOI10.1016/j.na.2007.07.001zbMath1176.35011OpenAlexW1555048762MaRDI QIDQ938712

B. E. Eshmatov

Publication date: 27 August 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.07.001

zbMATH Keywords

semilinear heat equationDelta distribution

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for second-order parabolic equations (35K15)

Related Items (9)

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 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 quenching criterion for a multi-dimensional parabolic problem 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 ⋮ Adaptive decomposition finite difference methods for solving singular problems -- a review ⋮ Quenching criteria for a parabolic problem due to a concentrated nonlinear source in an infinite strip

Cites Work

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• A short note on quenching phenomena for semilinear parabolic equations
• Beyond quenching for degenerate singular semilinear parabolic equations
• Multi-dimensional explosion due to a concentrated nonlinear source
• Quenching for Semilinear Singular Parabolic Problems
• Quenching for a degenerate parabolic problem due to a concentrated nonlinear source
• Solution profiles beyond quenching for degenerate reaction-diffusion problems
• The quenching phenomena for the Cauchy problem of semilinear parabolic equations

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