On the free boundary for quenching type parabolic problems via local energy methods

DOI10.3934/cpaa.2014.13.1799zbMath1325.35289OpenAlexW2085269392MaRDI QIDQ479328

Jesús Ildefonso Díaz

Publication date: 5 December 2014

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2014.13.1799

zbMATH Keywords

free boundaryinterpolation inequalitiesinstantaneous shrinking of the supportlocal energy methodsquenching type parabolic equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Free boundary problems for PDEs (35R35) Singular parabolic equations (35K67)

Related Items

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, Monotone continuous dependence of solutions of singular quenching parabolic problems, A gradient estimate to a degenerate parabolic equation with a singular absorption term: the global quenching phenomena, 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

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