Geodesic
Singularities of elliptic mixed boundary problems. Application to boundary stabilization of hyperbolic systems
Informatics and Automation, Differential equations and dynamical systems, Tome 270 (2010), pp. 177-187

Voir la notice de l'article provenant de la source Math-Net.Ru

For elliptic partial differential equations, mixed boundary conditions generate singularities in the solution, mainly when the boundary of the domain is connected. We here consider two classical cases: the Laplace equation and the Lamé system. The knowledge of singularities allows us to construct adapted Rellich relations. These are useful in the problem of boundary stabilization of the wave equation and the elastodynamic system, respectively, when using the multiplier method. 
@article{TRSPY_2010_270_a12,
     author = {J.-P. Loh\'eac},
     title = {Singularities of elliptic mixed boundary problems. {Application} to boundary stabilization of hyperbolic systems},
     journal = {Informatics and Automation},
     pages = {177--187},
     publisher = {mathdoc},
     volume = {270},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2010_270_a12/}
}
TY  - JOUR
AU  - J.-P. Lohéac
TI  - Singularities of elliptic mixed boundary problems. Application to boundary stabilization of hyperbolic systems
JO  - Informatics and Automation
PY  - 2010
SP  - 177
EP  - 187
VL  - 270
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2010_270_a12/
LA  - en
ID  - TRSPY_2010_270_a12
ER  - 
%0 Journal Article
%A J.-P. Lohéac
%T Singularities of elliptic mixed boundary problems. Application to boundary stabilization of hyperbolic systems
%J Informatics and Automation
%D 2010
%P 177-187
%V 270
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2010_270_a12/
%G en
%F TRSPY_2010_270_a12
J.-P. Lohéac. Singularities of elliptic mixed boundary problems. Application to boundary stabilization of hyperbolic systems. Informatics and Automation, Differential equations and dynamical systems, Tome 270 (2010), pp. 177-187. http://geodesic.mathdoc.fr/item/TRSPY_2010_270_a12/