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In this paper we prove a unique continuation result for a cascade system of parabolic equations, in which the solution of the first equation is (partially) used as a forcing term for the second equation. As a consequence we prove the existence of ε-insensitizing controls for some parabolic equations when the control region and the observability region do not intersect.
@article{COCV_2010__16_2_247_0,
author = {Kavian, Otared and de Teresa, Luz},
title = {Unique continuation principle for systems of parabolic equations},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {247--274},
publisher = {EDP-Sciences},
volume = {16},
number = {2},
year = {2010},
doi = {10.1051/cocv/2008077},
mrnumber = {2654193},
zbl = {1195.35080},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv/2008077/}
}
TY - JOUR AU - Kavian, Otared AU - de Teresa, Luz TI - Unique continuation principle for systems of parabolic equations JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2010 SP - 247 EP - 274 VL - 16 IS - 2 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/cocv/2008077/ DO - 10.1051/cocv/2008077 LA - en ID - COCV_2010__16_2_247_0 ER -
%0 Journal Article %A Kavian, Otared %A de Teresa, Luz %T Unique continuation principle for systems of parabolic equations %J ESAIM: Control, Optimisation and Calculus of Variations %D 2010 %P 247-274 %V 16 %N 2 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/cocv/2008077/ %R 10.1051/cocv/2008077 %G en %F COCV_2010__16_2_247_0
Kavian, Otared; de Teresa, Luz. Unique continuation principle for systems of parabolic equations. ESAIM: Control, Optimisation and Calculus of Variations, Tome 16 (2010) no. 2, pp. 247-274. doi: 10.1051/cocv/2008077
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