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Controllability for parabolic equations with nonlinear memory

Authors :
Tao, Qiang
Gao, Hang
Source :
Computers & Mathematics with Applications. Feb2011, Vol. 61 Issue 3, p538-545. 8p.
Publication Year :
2011

Abstract

Abstract: This paper is concerned with the controllability of a parabolic system with nonlinear memory. Based on the localized estimate of the solution, we prove that the system with a superlinear growth memory is not controllable. Furthermore, two controllability results for some initial data and targets are given as well. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
08981221
Volume :
61
Issue :
3
Database :
Academic Search Index
Journal :
Computers & Mathematics with Applications
Publication Type :
Academic Journal
Accession number :
57547063
Full Text :
https://doi.org/10.1016/j.camwa.2010.11.032