Existence and mathematical analysis of a coupled nonlinear system. (June 2022)

• Record Type: Journal Article
• Authors: Cavalcanti, Marcelo M.
• Is Part Of: Nonlinear analysis. Volume 219(2022)
• Publication Date: 2022-06
• Subjects: Kirchhoff–Carrier model -- Diagonalization theorem; 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.2022.112830
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper we study the existence and uniqueness of local solutions for the coupled nonlinear system u ′ ′ − Δ u + M ∫ Ω | ∇ u | 2 d x Δ u + v = f v ′ − Δ v + u ′ = g for bounded or unbounded domains making use of the diagonalization theorem for self-adjoint operators.