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Approximate controllability of a parabolic integrodifferential equation
Author(s) -
Tao Qiang,
Gao Hang,
Zhang Bo,
Yao Zheng'an
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2970
Subject(s) - controllability , mathematics , semigroup , parabolic partial differential equation , operator (biology) , mathematical analysis , heat equation , partial differential equation , biochemistry , chemistry , repressor , transcription factor , gene
In this paper, we obtain the approximate controllability of a parabolic integrodifferential equation with interior controls. The proof relies on the linear operator semigroup theory and the controllability theory for abstract equations. Copyright © 2013 John Wiley & Sons, Ltd.