\(L^p\) estimates for parabolic equations in Reifenberg domains

DOI10.1016/j.jfa.2004.10.014zbMath1075.35016OpenAlexW2000329734MaRDI QIDQ557576

Sun-Sig Byun, Lihe Wang

Publication date: 30 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2004.10.014

zbMATH Keywords

maximal functionReifenberg flat domainVitali covering lemmainhomogeneous Neumann problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Boundary value problems for second-order elliptic equations (35J25) PDEs with low regular coefficients and/or low regular data (35R05) Second-order elliptic equations (35J15) Free boundary problems for PDEs (35R35)

Related Items (12)

Global weighted estimates for the nonlinear parabolic equations with non-standard growth ⋮ Conormal derivative problems for stationary Stokes system in Sobolev spaces ⋮ Parabolic equations in time dependent Reifenberg domains ⋮ Regularity in Orlicz spaces for quasi-linear elliptic equations of Schrödinger type ⋮ Global gradient estimates for the parabolic \(p(x, t)\)-Laplacian equation ⋮ Parabolic Bellman Equations with Risk Control ⋮ Gradient estimates in Orlicz space for nonlinear elliptic equations ⋮ \(L^q\) interior estimates of the gradient for weak solutions of quasilinear elliptic equations ⋮ Nonlinear elliptic equations with BMO coefficients in Reifenberg domains ⋮ Higher integrability for a quasilinear parabolic equation of \(p\)-Laplacian type ⋮ Optimal regularity estimates for general nonlinear parabolic equations ⋮ Variable Lorentz estimate for conormal derivative problems of stationary Stokes system with partially BMO coefficients

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