Geodesic
The Carleman formula for the Maxwell’s equations on a~plane
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 448-455

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

We consider the Cauchy problem for second-order elliptic equations in an arbitrary bounded planar domain with Cauchy data only on a part of the boundary of the domain. We derive a Carleman-type formula for a solution to this problem and give a conditional stability estimate. Then the result is applied to Maxwell's system.
Keywords: Cauchy problem, second-order elliptic equations, Maxwell's system.
Mots-clés : Carleman formula 
@article{SEMR_2008_5_a39,
     author = {\`E. V. Arbuzov and A. L. Bukhgeim},
     title = {The {Carleman} formula for the {Maxwell{\textquoteright}s} equations on a~plane},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {448--455},
     publisher = {mathdoc},
     volume = {5},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2008_5_a39/}
}
TY  - JOUR
AU  - È. V. Arbuzov
AU  - A. L. Bukhgeim
TI  - The Carleman formula for the Maxwell’s equations on a~plane
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2008
SP  - 448
EP  - 455
VL  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SEMR_2008_5_a39/
LA  - ru
ID  - SEMR_2008_5_a39
ER  - 
%0 Journal Article
%A È. V. Arbuzov
%A A. L. Bukhgeim
%T The Carleman formula for the Maxwell’s equations on a~plane
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2008
%P 448-455
%V 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SEMR_2008_5_a39/
%G ru
%F SEMR_2008_5_a39
È. V. Arbuzov; A. L. Bukhgeim. The Carleman formula for the Maxwell’s equations on a~plane. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 448-455. http://geodesic.mathdoc.fr/item/SEMR_2008_5_a39/