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

Prouvée, Laurent and Límaco, Juan: Local null controllability for a parabolic-elliptic system with local and nonlocal nonlinearities. Electronic journal of qualitative theory of differential equations 74. pp. 1-31. (2019)

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Abstract

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.

Item Type: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2019
Number: 74
Page Range: pp. 1-31
ISSN: 1417-3875
DOI: https://doi.org/10.14232/ejqtde.2019.1.74
Uncontrolled Keywords: Differenciaegyenlet, Határérték probléma
Additional Information: Bibliogr.: p. 29-31. ; összefoglalás angol nyelven
Date Deposited: 2020. Jan. 27. 11:35
Last Modified: 2020. Jan. 27. 11:35
URI: http://acta.bibl.u-szeged.hu/id/eprint/64718

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