Estimating the gradient of vector fields via div and curl in variable exponent Sobolev spaces. (March 2020)

• Record Type: Journal Article
• Authors: Sin, Cholmin; Ri, Sin-Il
• Is Part Of: Nonlinear analysis. Volume 192(2020)
• Publication Date: 2020-03
• Subjects: 35D30 -- 35A23 -- 46E30 -- 46E35 -- 76D03 -- 76A05; Div–curl system -- Calderon–Zygmund operator -- Variable exponent -- Sobolev space; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2019.111666
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We show an estimate of the gradient of vector fields u in terms of div u and curl u in vector-valued variable exponent Sobolev spaces with vanishing normal component on the boundary in simply connected 3D-domains.