Fourth-order parabolic equations with weak BMO coefficients in Reifenberg domains

DOI10.1016/j.jde.2008.03.028zbMath1160.35029OpenAlexW2020822322MaRDI QIDQ959854

Sun-Sig Byun, Lihe Wang

Publication date: 12 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.jde.2008.03.028

zbMATH Keywords

Vitali covering lemma\(W^{2, p}\) estimates\(W^{2,p}\)-regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for higher-order parabolic equations (35K35) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items

Weighted \(L_{p,q}\)-estimates for higher order elliptic and parabolic systems with \(\mathrm{BMO}_x\) coefficients on Reifenberg flat domains ⋮ Gradient estimates for higher order elliptic equations on nonsmooth domains ⋮ \(L ^{p }\)-regularity for fourth order parabolic systems with measurable coefficients ⋮ New perturbation methods for nonlinear parabolic problems ⋮ Global weighted estimates for higher order Schrödinger operators with discontinuous coefficients ⋮ Orlicz regularity for higher order parabolic equations in divergence form with coefficients in weak BMO ⋮ Hessian estimates for fourth order elliptic systems with singular BMO coefficients in composite Reifenberg domains ⋮ Hessian estimates in Orlicz spaces for fourth-order parabolic systems in non-smooth domains ⋮ Parabolic Systems with Polynomial Growth and Regularity

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