Geodesic
On the Continuation of Solutions of Linear Equations with Analytic Coefficients
Matematičeskie zametki, Tome 111 (2022) no. 6, pp. 921-928

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

In the tangent space, the principal symbol of the considered class of linear differential equations with analytic coefficients determines a bundle such that, on each of its integral lines, the germ of a generalized solution at one of the points uniquely determines the germs of the solution at all other points. The cases of holonomic and nonholonomic induces distributions are considered.
Mots-clés : unique continuation, solution germ. 
@article{MZM_2022_111_6_a10,
     author = {N. A. Shananin},
     title = {On the {Continuation} of {Solutions} of {Linear} {Equations} with {Analytic} {Coefficients}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {921--928},
     publisher = {mathdoc},
     volume = {111},
     number = {6},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2022_111_6_a10/}
}
TY  - JOUR
AU  - N. A. Shananin
TI  - On the Continuation of Solutions of Linear Equations with Analytic Coefficients
JO  - Matematičeskie zametki
PY  - 2022
SP  - 921
EP  - 928
VL  - 111
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2022_111_6_a10/
LA  - ru
ID  - MZM_2022_111_6_a10
ER  - 
%0 Journal Article
%A N. A. Shananin
%T On the Continuation of Solutions of Linear Equations with Analytic Coefficients
%J Matematičeskie zametki
%D 2022
%P 921-928
%V 111
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2022_111_6_a10/
%G ru
%F MZM_2022_111_6_a10
N. A. Shananin. On the Continuation of Solutions of Linear Equations with Analytic Coefficients. Matematičeskie zametki, Tome 111 (2022) no. 6, pp. 921-928. http://geodesic.mathdoc.fr/item/MZM_2022_111_6_a10/