Marcinkiewicz estimates for degenerate parabolic equations with measure data

DOI10.1016/j.jfa.2014.08.017zbMath1335.35265OpenAlexW1987983408MaRDI QIDQ457649

Paolo Baroni

Publication date: 29 September 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2014.08.017

zbMATH Keywords

Marcinkiewicz spacesdegenerate parabolic equationsintrinsic geometrymeasure data problems

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) PDEs with measure (35R06)

Related Items (21)

On the relation between generalized Morrey spaces and measure data problems ⋮ Morrey estimates for some classes of elliptic equations with a lower order term ⋮ Weighted regularity estimates for a class of higher-order nonlinear parabolic and elliptic systems ⋮ Lorentz estimates for degenerate and singular evolutionary systems ⋮ 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 ⋮ Regularity estimates for singular parabolic measure data problems with sharp growth ⋮ Definite Condition of the Evolutionary $\vec{p}(x)$−Laplacian Equation ⋮ Degenerate parabolic equations with partial boundary value conditions ⋮ Global estimates for nonlinear parabolic equations ⋮ Short Tales from Nonlinear Calderón-Zygmund Theory ⋮ Construction of solutions to parabolic and hyperbolic initial–boundary value problems ⋮ Global regularity for degenerate/singular parabolic equations involving measure data ⋮ Variable Lorentz estimate for nonlinear elliptic equations with partially regular nonlinearities ⋮ Singular parabolic equations, measures satisfying density conditions, and gradient integrability ⋮ Lorentz estimates to nonlinear elliptic obstacle problems of \(p(x)\)-growth in Reifenberg domains ⋮ Lorentz estimate for nonlinear parabolic obstacle problems with asymptotically regular nonlinearities ⋮ Estimates for parabolic equations with measure data in generalized Morrey spaces ⋮ Developments and perspectives in nonlinear potential theory ⋮ Global weighted Lorentz estimates for parabolic equations with measure via strong fractional maximal functions ⋮ Maximal integrability for general elliptic problems with diffusive measures

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