Geodesic
Ill-posed boundary value problem for mixed type system equations with two degenerate lines
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 647-660

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

In this paper, ill-posed boundary value problem is investigated for a system of partial differential equations of mixed type with two degenerate lines. To boundary value problems for equations of mixed type, problems from various fields of the natural sciences can be summarized: problems of laser physics, plasma modeling, and mathematical biology. In this paper, we prove theorems on the uniqueness and conditional stability of the solution of the problem under investigation on a set of correctness. The a priori estimate of the solution is obtained by the method of logarithmic convexity and spectral decomposition.
Keywords: boundary problem, system of equations of mixed type with degenerate lines, ill-posed problem, a priori estimate,estimate of conditional stability, uniqueness, set of correctness. 
@article{SEMR_2020_17_a92,
     author = {K. S. Fayazov and Ya. K. Khudayberganov},
     title = {Ill-posed boundary value problem for mixed type system equations with two degenerate lines},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {647--660},
     publisher = {mathdoc},
     volume = {17},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2020_17_a92/}
}
TY  - JOUR
AU  - K. S. Fayazov
AU  - Ya. K. Khudayberganov
TI  - Ill-posed boundary value problem for mixed type system equations with two degenerate lines
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2020
SP  - 647
EP  - 660
VL  - 17
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SEMR_2020_17_a92/
LA  - ru
ID  - SEMR_2020_17_a92
ER  - 
%0 Journal Article
%A K. S. Fayazov
%A Ya. K. Khudayberganov
%T Ill-posed boundary value problem for mixed type system equations with two degenerate lines
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2020
%P 647-660
%V 17
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SEMR_2020_17_a92/
%G ru
%F SEMR_2020_17_a92
K. S. Fayazov; Ya. K. Khudayberganov. Ill-posed boundary value problem for mixed type system equations with two degenerate lines. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 647-660. http://geodesic.mathdoc.fr/item/SEMR_2020_17_a92/