Calderón-Zygmund estimates for parabolic measure data equations

DOI10.1016/j.jde.2011.08.016zbMath1233.35055OpenAlexW2057681066MaRDI QIDQ649762

Jens Habermann, Paolo Baroni

Publication date: 6 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.jde.2011.08.016

zbMATH Keywords

measure dataparabolic equationsCalderón-Zygmund estimatesfractional integrability and differentiability

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05) Weak solutions to PDEs (35D30) Quasilinear parabolic equations (35K59)

Related Items (18)

Gradient estimates for nonlinear elliptic equations with vanishing Neumann data in quasiconvex domains ⋮ Fractional differentiability for solutions of a class of parabolic systems with \(L^{1,\theta}\)-data ⋮ Marcinkiewicz regularity for singular parabolic \(p\)-Laplace type equations with measure data ⋮ Gradient estimates via the Wolff potentials for a class of quasilinear elliptic equations ⋮ Global Calderón-Zygmund estimate for \(p\)-Laplacian parabolic system ⋮ Global gradient estimates for parabolic equations with measurable nonlinearities ⋮ Fractional differentiability for elliptic measure data problems with variable exponents ⋮ Fractional differentiability for elliptic double obstacle problems with measure data ⋮ Global estimates for nonlinear parabolic equations ⋮ Short Tales from Nonlinear Calderón-Zygmund Theory ⋮ Pointwise gradient estimates ⋮ Optimal fractional differentiability for nonlinear parabolic measure data problems ⋮ Parabolic p-Laplacian revisited: Global regularity and fractional smoothness ⋮ Nonlinear measure data problems ⋮ Global regularity for degenerate/singular parabolic equations involving measure data ⋮ Second-order regularity for parabolic \(p\)-Laplace problems ⋮ Weighted Lorentz gradient estimates for a class of quasilinear elliptic equations with measure data ⋮ Developments and perspectives in nonlinear potential theory

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