## A remark on the regularity of the div-curl system

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- by Irina Mitrea and Marius Mitrea PDF
- Proc. Amer. Math. Soc.
**137**(2009), 1729-1733 Request permission

## Abstract:

As a limiting case of the classical Calderón-Zygmund theory, in this note we study the Besov regularity of differential forms $u$ for which $du$ and $\delta u$ have absolutely integrable coefficients in ${\mathbb R}^n$.## References

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## Additional Information

**Irina Mitrea**- Affiliation: Department of Mathematics, University of Virginia, Charlottesville, Virginia 22904
- MR Author ID: 634131
- Email: im3p@virginia.edu
**Marius Mitrea**- Affiliation: Department of Mathematics, University of Missouri, Columbia, Missouri 65211
- MR Author ID: 341602
- ORCID: 0000-0002-5195-5953
- Email: marius@math.missouri.edu
- Received by editor(s): June 3, 2008
- Published electronically: November 4, 2008
- Additional Notes: The first author was partially supported by NSF grant DMS-0547944

The second author was partially supported by NSF grants DMS-90400639 and DMS-FRG-0456306 - Communicated by: Michael T. Lacey
- © Copyright 2008 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**137**(2009), 1729-1733 - MSC (2000): Primary 35B65, 58A10; Secondary 35F05, 42B20
- DOI: https://doi.org/10.1090/S0002-9939-08-09671-8
- MathSciNet review: 2470831