A remark on the regularity of the div-curl system

DOI10.1090/S0002-9939-08-09671-8zbMath1168.35325OpenAlexW2051200282MaRDI QIDQ3625546

Irina Mitrea, Marius Mitrea

Publication date: 5 May 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09671-8

zbMATH Keywords

regularitydifferential formsembeddingsBesov spacesdiv-curl system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Linear first-order PDEs (35F05) Differential forms in global analysis (58A10)

Related Items (9)

Hardy-type inequalities for vector fields with vanishing tangential components ⋮ Weighted estimates for $L_1$-vector fields ⋮ Approximation in higher-order Sobolev spaces and Hodge systems ⋮ A subelliptic Bourgain-Brezis inequality ⋮ A Variational Approach to Single Crystals with Dislocations ⋮ Limiting Bourgain-Brezis estimates for systems of linear differential equations: theme and variations ⋮ Local $\mathbf {L}^{1}$ estimates for elliptic systems of complex vector fields ⋮ L1 Sobolev estimates for (pseudo)-differential operators and applications ⋮ Limiting fractional and Lorentz space estimates of differential forms

Cites Work

• A note on div curl inequalities
• Estimates for \(L^{1}\)-vector fields

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