A problem with a~Frankl condition on the boundary of the ellipticity domain for the Gellerstedt equation with a~singular coefficient
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2012), pp. 61-66

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

We study a problem with the Frankl and Bitsadze–Samarskii conditions on the elliptic boundary and on the degeneration line for the Gellerstedt equation with a singular coefficient. We prove the correctness of the stated problem.
Keywords: unique solvability
Mots-clés : existence of solution, singular coefficient.
@article{IVM_2012_1_a7,
     author = {Mirsaburova Gulnora},
     title = {A problem with {a~Frankl} condition on the boundary of the ellipticity domain for the {Gellerstedt} equation with a~singular coefficient},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {61--66},
     publisher = {mathdoc},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2012_1_a7/}
}
TY  - JOUR
AU  - Mirsaburova Gulnora
TI  - A problem with a~Frankl condition on the boundary of the ellipticity domain for the Gellerstedt equation with a~singular coefficient
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2012
SP  - 61
EP  - 66
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2012_1_a7/
LA  - ru
ID  - IVM_2012_1_a7
ER  - 
%0 Journal Article
%A Mirsaburova Gulnora
%T A problem with a~Frankl condition on the boundary of the ellipticity domain for the Gellerstedt equation with a~singular coefficient
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2012
%P 61-66
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2012_1_a7/
%G ru
%F IVM_2012_1_a7
Mirsaburova Gulnora. A problem with a~Frankl condition on the boundary of the ellipticity domain for the Gellerstedt equation with a~singular coefficient. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2012), pp. 61-66. http://geodesic.mathdoc.fr/item/IVM_2012_1_a7/