Complete quenching phenomenon and instantaneous shrinking of support of solutions of degenerate parabolic equations with nonlinear singular absorption

DOI10.1017/prm.2018.68zbMath1426.35136OpenAlexW2910647345MaRDI QIDQ5244486

Nguyen Anh Dao, Huynh van Kha, Jesús Ildefonso Díaz

Publication date: 21 November 2019

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/e1b537ad45221a874d6998117dbe6d851e33aa80

zbMATH Keywords

free boundarygradient estimatesquenching type of parabolic equationsinstantaneous shrinking of supportirregular initial datum

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45) Free boundary problems for PDEs (35R35) Quasilinear parabolic equations (35K59)

Related Items (6)

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 ⋮ Quenching phenomenon for a degenerate parabolic equation with a singular boundary flux ⋮ Energy and large time estimates for nonlinear porous medium flow with nonlocal pressure in \(\mathbb{R}^N\) ⋮ Instantaneous shrinking of the support of solutions to parabolic equations with a singular absorption

Cites Work

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