Advances in Differential Equations

Nonhomogeneous div-curl lemmas and local Hardy spaces

Galia Dafni

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Abstract

Various nonhomogeneous variants of the div-curl lemma are proved, in which the local Hardy space of Goldberg is the target space. This is done both in the whole Euclidean space and in domains.

Article information

Source
Adv. Differential Equations Volume 10, Number 5 (2005), 505-526.

Dates
First available in Project Euclid: 18 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355867863

Mathematical Reviews number (MathSciNet)
MR2134048

Zentralblatt MATH identifier
1129.42396

Subjects
Primary: 42B30: $H^p$-spaces
Secondary: 35B65: Smoothness and regularity of solutions 35F05: Linear first-order equations 46E35: Sobolev spaces and other spaces of "smooth" functions, embedding theorems, trace theorems

Citation

Dafni, Galia. Nonhomogeneous div-curl lemmas and local Hardy spaces. Adv. Differential Equations 10 (2005), no. 5, 505--526. https://projecteuclid.org/euclid.ade/1355867863.


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