Boundary estimates for certain degenerate and singular parabolic equations

DOI10.4171/JEMS/593zbMath1335.35143arXiv1406.1039OpenAlexW2133345218MaRDI QIDQ252678

Benny Avelin, Ugo Gianazza, Sandro Salsa

Publication date: 3 March 2016

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.1039

zbMATH Keywords

boundary Harnack inequalityCarleson estimatedegenerate and singular parabolic equationsHarnack estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) Singular parabolic equations (35K67)

Related Items (11)

On time dependent domains for the degenerate \(p\)-parabolic equation: Carleson estimate and Hölder continuity ⋮ A boundary Harnack inequality for singular equations of 𝑝-parabolic type ⋮ Boundary behavior of solutions to the parabolic \(p\)-Laplace equation ⋮ Boundary behavior of solutions to the parabolic \(p\)-Laplace equation. II ⋮ An inhomogeneous version of the Carleson estimate for singular/degenerate nonlinear equations ⋮ Optimal regularity and fine asymptotics for the porous medium equation in bounded domains ⋮ The Cauchy-Dirichlet problem for the fast diffusion equation on bounded domains ⋮ Well-posedness and long time behavior for \(p\)-Laplacian equation with nonlinear boundary condition ⋮ Existence and stabilization results for a singular parabolic equation involving the fractional Laplacian ⋮ A Carleson type inequality for fully nonlinear elliptic equations with non-Lipschitz drift term ⋮ Carleson estimates for the singular parabolic \(p\)-Laplacian in time-dependent domains

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