Local exact controllability to the trajectories of the Swift–Hohenberg equation. (July 2016)

• Record Type: Journal Article
• Authors: Gao, Peng
• Is Part Of: Nonlinear analysis. Volume 139(2016)
• Page Start: 169
• Page End: 195
• Publication Date: 2016-07
• Subjects: 35K35 -- 35K55 -- 93B05; Swift–Hohenberg equation -- Carleman estimate -- Controllability; 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.2016.02.023
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: This paper is addressed to study the local exact controllability to the trajectories of the Swift–Hohenberg equation. We first establish a new global Carleman estimate for the fourth order parabolic operator, and we consider the exact controllability to the trajectories of the linearized system. Then, by Local inversion theorem, we show that the same result holds for the Swift–Hohenberg equation.