Geodesic
An observability estimate for parabolic equations from a measurable set in time and its applications
Journal of the European Mathematical Society, Tome 15 (2013) no. 2, pp. 681-703.

Voir la notice de l'article provenant de la source EMS Press

This paper presents a new observability estimate for parabolic equations in Ω×(0,T) , where Ω is a convex domain. The observation region is restricted over a product set of an open nonempty subset of Ω and a subset of positive measure in (0,T) . This estimate is derived with the aid of a quantitative unique continuation at one point in time. Applications to the bang-bang property for norm and time optimal control problems are provided.
DOI : 10.4171/jems/371
Classification : 93-XX, 35-XX, 00-XX
Keywords: Parabolic equations, observability estimate, quantitative unique continuation, bang-bang property 
@article{JEMS_2013_15_2_a8,
     author = {Kim Dang Phung and Gengsheng Wang},
     title = {An observability estimate for parabolic equations from a measurable set in time and its applications},
     journal = {Journal of the European Mathematical Society},
     pages = {681--703},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2013},
     doi = {10.4171/jems/371},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/371/}
}
TY  - JOUR
AU  - Kim Dang Phung
AU  - Gengsheng Wang
TI  - An observability estimate for parabolic equations from a measurable set in time and its applications
JO  - Journal of the European Mathematical Society
PY  - 2013
SP  - 681
EP  - 703
VL  - 15
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/371/
DO  - 10.4171/jems/371
ID  - JEMS_2013_15_2_a8
ER  - 
%0 Journal Article
%A Kim Dang Phung
%A Gengsheng Wang
%T An observability estimate for parabolic equations from a measurable set in time and its applications
%J Journal of the European Mathematical Society
%D 2013
%P 681-703
%V 15
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/371/
%R 10.4171/jems/371
%F JEMS_2013_15_2_a8
Kim Dang Phung; Gengsheng Wang. An observability estimate for parabolic equations from a measurable set in time and its applications. Journal of the European Mathematical Society, Tome 15 (2013) no. 2, pp. 681-703. doi : 10.4171/jems/371. http://geodesic.mathdoc.fr/articles/10.4171/jems/371/

Cité par Sources :