Global gradient estimates for parabolic equations with measurable nonlinearities

DOI10.1016/j.na.2017.08.009zbMath1373.35165OpenAlexW2755067546MaRDI QIDQ1675410

Seungjin Ryu, Youchan Kim

Publication date: 27 October 2017

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.2017.08.009

zbMATH Keywords

nonlinear parabolic equationReifenberg flat domainmeasurable nonlinearityCalderón-Zygmund type estimate

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (12)

Maximal regularity for local minimizers of non-autonomous functionals ⋮ Uniform estimates with data from generalized Lebesgue spaces in periodic structures ⋮ Existence and regularity of solutions for nonlinear measure data problems with general growth ⋮ Global gradient estimates for nonlinear equations of \(p\)-Laplace type from composite materials ⋮ Calderón-Zygmund estimates for nonlinear parabolic equations with matrix weights on nonsmooth domains ⋮ Global gradient estimates for the mixed local and nonlocal problems with measurable nonlinearities ⋮ Calderón‐Zygmund estimates for higher order elliptic equations from composite material ⋮ Gradient estimates for elliptic equations with measurable nonlinearities ⋮ Global gradient estimates for parabolic systems from composite materials ⋮ Higher integrability result for nonlinear elliptic systems with conormal boundary conditions ⋮ Boundary Riesz potential estimates for elliptic equations with measurable nonlinearities ⋮ Global regularity of shear thickening Stokes system with Dirichlet boundary condition on non-smooth domains

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