Geodesic
Observability inequalities and measurable sets
Journal of the European Mathematical Society, Tome 16 (2014) no. 11, pp. 2433-2475

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

This paper presents two observability inequalities for the heat equation over Ω×(0,T). In the first one, the observation is from a subset of positive measure in Ω×(0,T), while in the second, the observation is from a subset of positive surface measure on ∂Ω×(0,T). It also proves the Lebeau-Robbiano spectral inequality when Ω is a bounded Lipschitz and locally star-shaped domain. Some applications for the above-mentioned observability inequalities are provided.
DOI : 10.4171/jems/490
Classification : 93-XX, 00-XX
Keywords: Observability inequality, heat equation, measurable set, spectral inequality 
@article{JEMS_2014_16_11_a3,
     author = {Jone Apraiz and Luis Escauriaza and Gengsheng Wang and C. Zhang},
     title = {Observability inequalities and measurable sets},
     journal = {Journal of the European Mathematical Society},
     pages = {2433--2475},
     publisher = {mathdoc},
     volume = {16},
     number = {11},
     year = {2014},
     doi = {10.4171/jems/490},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/490/}
}
TY  - JOUR
AU  - Jone Apraiz
AU  - Luis Escauriaza
AU  - Gengsheng Wang
AU  - C. Zhang
TI  - Observability inequalities and measurable sets
JO  - Journal of the European Mathematical Society
PY  - 2014
SP  - 2433
EP  - 2475
VL  - 16
IS  - 11
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/490/
DO  - 10.4171/jems/490
ID  - JEMS_2014_16_11_a3
ER  - 
%0 Journal Article
%A Jone Apraiz
%A Luis Escauriaza
%A Gengsheng Wang
%A C. Zhang
%T Observability inequalities and measurable sets
%J Journal of the European Mathematical Society
%D 2014
%P 2433-2475
%V 16
%N 11
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/490/
%R 10.4171/jems/490
%F JEMS_2014_16_11_a3
Jone Apraiz; Luis Escauriaza; Gengsheng Wang; C. Zhang. Observability inequalities and measurable sets. Journal of the European Mathematical Society, Tome 16 (2014) no. 11, pp. 2433-2475. doi: 10.4171/jems/490

Cité par Sources :