Potential Estimates for Quasi-Linear Parabolic Equations

DOI10.1515/ans-2011-0408zbMath1232.35025arXiv1004.3045OpenAlexW1515091993MaRDI QIDQ3099684

Zeev Sobol, Vitali Liskevich, Igor I. Skrypnik

Publication date: 1 December 2011

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.3045

zbMATH Keywords

parabolic \(p\)-Laplace equationdegenerate parabolic equationsnonlinear Wolff potentialcoefficients from Kato-type classes

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Quasilinear parabolic equations with (p)-Laplacian (35K92) Quasilinear parabolic equations (35K59)

Related Items (4)

Degenerate and Singular Porous Medium Type Equations with Measure Data ⋮ Sharp boundedness and continuity results for the singular porous medium equation ⋮ Pointwise estimates for solutions to the porous medium equation with measure as a forcing term ⋮ Pointwise estimates via parabolic potentials for a class of doubly nonlinear parabolic equations with measure data

Cites Work

• Singular quasilinear and Hessian equations and inequalities
• Potential estimates for a class of fully nonlinear elliptic equations.
• Quasilinear and Hessian equations of Lane-Emden type
• Gradient estimates in non-linear potential theory
• Gradient estimates via non-linear potentials

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