On the equation A∇u+∇utA=G. (July 2020)

• Record Type: Journal Article
• Authors: Bandyopadhyay, S.; Dacorogna, B.; Strütt, D.
• Is Part Of: Nonlinear analysis. Volume 196(2020)
• Publication Date: 2020-07
• Subjects: Symmetrized gradient -- Poincare lemma -- Dirichlet problem; 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.2020.111787
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: Let Ω ⊂ R n be an open set, A ∈ R n × n and G : Ω → R n × n be given. We look for a solution u : Ω → R n of the equation A ∇ u + ∇ u t A = G . We also study the associated Dirichlet problem.