Local null controllability for a parabolic-elliptic system with local and nonlocal nonlinearities

Autor: Laurent Prouvée, Juan Limaco
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2019, Iss 74, Pp 1-31 (2019)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2019.1.74
Popis: This work deals with the null controllability of an initial boundary value problem for a parabolic-elliptic coupled system with nonlinear terms of local and nonlocal kinds. The control is distributed, locally in space and appears only in one PDE. We first prove that, if the initial data is sufficiently small and the linearized system at zero satisfies an appropriate condition, the equations can be driven to zero.
Databáze: Directory of Open Access Journals