Div-curl type estimates for elliptic systems of complex vector fields

Author(s)

Hoepfner, G. ^[1] ; Hounie, J. ^[1] ; Picon, T. ^[2]

Affiliation

^[1] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP - Brazil

^[2] Univ Sao Paulo, Dept Comp & Matemat, BR-14040901 Ribeirao Preto, SP - Brazil

• Document type: Journal article
• Source: Journal of Mathematical Analysis and Applications; v. 429, n. 2, p. 774-799, SEP 15 2015.
• Web of Science Citations: 2

Abstract

In this work, we extend the classical div-curl lemma proved by Coffman, Lions, Meyer and Semmes to the setup of elliptic complexes of complex vector fields with smooth coefficients. The tools include local versions of the Gagliardo-Nirenberg estimate and Rellich-Kondrachov compactness theorem for compactly supported distributions in the local Hardy space h(P)(R-N) that we prove to hold for 0 < p <= 1. (C) 2015 Elsevier Inc. All rights reserved. (AU)

• FAPESP's process: 13/17636-5 - A priori estimates for elliptic complexes and applications
• Grantee: Tiago Henrique Picon
• Support Opportunities: Research Grants - Young Investigators Grants
• FAPESP's process: 12/03168-7 - Geometric theory of PDE and several complex variables
• Grantee: Jorge Guillermo Hounie
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 14/22054-8 - Qualitative properties of partial differential equations and several complex variables
• Grantee: Gustavo Hoepfner
• Support Opportunities: Regular Research Grants