Pointwise gradient estimates of solutions to one-dimensional nonlinear parabolic equations

DOI10.1007/s00028-003-0097-8zbMath1060.35024OpenAlexW4241267222MaRDI QIDQ1880303

Philippe Benilan, Jesús Ildefonso Díaz

Publication date: 22 September 2004

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-003-0097-8

zbMATH Keywords

convection-diffusion equationhomogeneous Dirichlet boundary conditionssmoothing effectevolution of free boundaries

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) 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)

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Pointwise gradient estimates in multi-dimensional slow diffusion equations with a singular quenching term ⋮ Complete quenching phenomenon and instantaneous shrinking of support of solutions of degenerate parabolic equations with nonlinear singular absorption

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