Calderón-Zygmund estimate for homogenization of parabolic systems

DOI10.3934/dcds.2016091zbMath1351.35067OpenAlexW2536678511MaRDI QIDQ727405

Yunsoo Jang, Sun-Sig Byun

Publication date: 6 December 2016

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

Full work available at URL: https://doi.org/10.3934/dcds.2016091

zbMATH Keywords

Dirichlet problemhomogenizationBMO spaceparabolic systemReifenberg domain

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Second-order parabolic systems (35K40)

Related Items (2)

Uniform estimates with data from generalized Lebesgue spaces in periodic structures ⋮ Convergence rates in homogenization of higher-order parabolic systems

Cites Work

• Degenerate parabolic equations
• Solution of the Plateau problem for \(m\)-dimensional surfaces of varying topological type
• A geometric approach to the Calderón-Zygmund estimates
• Parabolic equations in Reifenberg domains
• Self-improving property of nonlinear higher order parabolic systems near the boundary
• Uniform regularity estimates in parabolic homogenization
• Compactness methods in the theory of homogenization
• Global estimates in Orlicz spaces for the gradient of solutions to parabolic systems
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