Gradient estimates for parabolic \(\mathcal A\)-harmonic equations

DOI10.1016/j.na.2010.09.060zbMath1213.35156OpenAlexW2093362008MaRDI QIDQ622390

Feng-Ping Yao

Publication date: 31 January 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.09.060

zbMATH Keywords

Sobolev spacesOrlicz spaces

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Quasilinear parabolic equations (35K59)

Related Items (4)

Weighted Orlicz estimates for general nonlinear parabolic equations over nonsmooth domains ⋮ Global gradient estimates for general nonlinear parabolic equations in nonsmooth domains ⋮ Calderón-Zygmund theory for degenerate parabolic systems involving a generalized \(p\)-Laplacian type ⋮ Nonlinear gradient estimates for parabolic obstacle problems in non-smooth domains

Cites Work

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• Degenerate parabolic equations
• Gradient estimates for a class of parabolic systems
• Gradient estimates in Orlicz space for nonlinear elliptic equations
• Optimal regularity for the Poisson equation
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Real Interpolation of Sobolev Spaces on Subdomains of Rn
• Parabolic equations with BMO nonlinearity in Reifenberg domains

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