TITLE

# Approximate Controllability of a Semilinear System Involving a Fully Nonlinear Gradient Term

AUTHOR(S)
Du, Runmei; Wang, Chunpeng; Zhou, Qian
PUB. DATE
August 2014
SOURCE
Applied Mathematics & Optimization;Aug2014, Vol. 70 Issue 1, p165
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
This paper concerns a control system governed by a semilinear degenerate equation involving a fully nonlinear gradient term. The equation may be weakly degenerate and strongly degenerate on a portion of the lateral boundary, and the gradient term can be controlled by the diffusion term. The linearized system is shown to be approximately controllable by constructing a control by means of its conjugate problem. By doing a series of precise compactness estimates, we prove that the semilinear system is approximately controllable.
ACCESSION #
96927582

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