Recent Progress in the $L_p$ Theory for Elliptic and Parabolic Equations with Discontinuous Coefficients

DOI10.4208/ATA.OA-0021zbMath1474.35243arXiv2006.03966MaRDI QIDQ4983914

Hongjie Dong

Publication date: 26 April 2021

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.03966

zbMATH Keywords

nonlocal equationsMuckenhoupt weightsweighted estimatesfully nonlinear equationsVMO coefficientselliptic and parabolic equations and systems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear elliptic equations (35J60) Second-order elliptic equations (35J15) Second-order parabolic equations (35K10)

Related Items (4)

Elliptic equations in divergence form with drifts in 𝐿² ⋮ Heat kernels and Hardy spaces on non-tangentially accessible domains with applications to global regularity of inhomogeneous Dirichlet problems ⋮ \(C^{2,\alpha}\) estimates for solutions to almost linear elliptic equations ⋮ Parabolic systems with measurable coefficients in weighted Sobolev spaces

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