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- Title
Insensitizing controls for the parabolic equation with equivalued surface boundary conditions.
- Authors
Yin, Zhong
- Abstract
This paper is devoted to the study of the existence of insensitizing controls for the parabolic equation with equivalued surface boundary conditions. The insensitizing problem consists in finding a control function such that some energy functional of the equation is locally insensitive to a perturbation of the initial data. As usual, this problem can be reduced to a partially null controllability problem for a cascade system of two parabolic equations with equivalued surface boundary conditions. Compared the problems with usual boundary conditions, in the present case we need to derive a new global Carleman estimate, for which, in particular one needs to construct a new weight function to match the equivalued surface boundary conditions.
- Subjects
DEGENERATE parabolic equations; GEOMETRIC surfaces; PERTURBATION theory; CARLEMAN theorem; PARAMETER estimation; FUNCTIONAL analysis
- Publication
Acta Mathematica Sinica, 2012, Vol 28, Issue 12, p2373
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-012-1309-3