A gradient estimate to a degenerate parabolic equation with a singular absorption term: the global quenching phenomena

DOI10.1016/j.jmaa.2015.11.059zbMath1377.35287OpenAlexW2211674413MaRDI QIDQ5962566

Nguyen Anh Dao, Jesús Ildefonso Díaz

Publication date: 12 February 2016

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

Full work available at URL: https://eprints.ucm.es/37710/7/A213_Dao_Diaz.pdf

zbMATH Keywords

gradient estimatefree boundary\(L^1\)-initial datumdegenerate parabolic equationsquenching phenomenon

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Free boundary problems for PDEs (35R35) Singular parabolic equations (35K67) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (10)

Complete quenching phenomenon for a parabolic \(p\)-Laplacian equation with a weighted absorption ⋮ The extinction versus the blow-up: global and non-global existence of solutions of source types of degenerate parabolic equations with a singular absorption ⋮ Pointwise gradient estimates in multi-dimensional slow diffusion equations with a singular quenching term ⋮ Quenching rate for a nonlocal problem arising in the micro-electro mechanical system ⋮ Monotone continuous dependence of solutions of singular quenching parabolic problems ⋮ Linearized stability for degenerate and singular semilinear and quasilinear parabolic problems: the linearized singular equation ⋮ On maximum and comparison principles for parabolic problems with the \(p\)-Laplacian ⋮ Unnamed Item ⋮ Complete quenching phenomenon and instantaneous shrinking of support of solutions of degenerate parabolic equations with nonlinear singular absorption ⋮ Instantaneous shrinking of the support of solutions to parabolic equations with a singular absorption

Cites Work

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