\(W^{1,p}\) regularity for the conormal derivative problem with parabolic BMO nonlinearity in Reifenberg domains

zbMath1155.35102MaRDI QIDQ928452

Lihe Wang, Sun-Sig Byun

Publication date: 18 June 2008

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

nonlinear parabolic equationBMO spaceconormal derivative problemReifenberg flat domainsparabolic maximal function

Mathematics Subject Classification ID

PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (6)

Conormal derivative problems for stationary Stokes system in Sobolev spaces ⋮ \(W^{1,p}\) estimates for nonlinear Schrödinger equations with partially BMO coefficients in Reifenberg domains ⋮ Global estimates in Orlicz spaces for the gradient of solutions to parabolic systems ⋮ Lorentz Estimates for Weak Solutions of Quasi-linear Parabolic Equations with Singular Divergence-free Drifts ⋮ Variable Lorentz estimate for conormal derivative problems of stationary Stokes system with partially BMO coefficients ⋮ Higher integrability result for nonlinear elliptic systems with conormal boundary conditions

This page was built for publication: \(W^{1,p}\) regularity for the conormal derivative problem with parabolic BMO nonlinearity in Reifenberg domains