Geodesic
On solvability of some classes of transmission problems in a cylindrical space domain
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 1, pp. 176-206

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

In the article we examine the questions of regular solvability in the Sobolev spaces of the transmission problems with transmission conditions of imperfect contact type for parabolic second order systems in cylindrical space domains. A solution has all generalized derivatives occurring in the system summable to some power $p\in (1,\infty)$. At the interface the limit values of the conormal derivatives are expressed through the limit values of a solution. The problem does not belong to the class of classical diffraction problems and arises when describing heat-and-mass transfer processes in layered media. The proof relies on a priori bounds and the method of continuation in a parameter.
Keywords: discontinuous coefficients, parabolic system, heat-and-mass transfer, cylindrical space domain.
Mots-clés : transmission problem 
@article{SEMR_2021_18_1_a24,
     author = {V. A. Belonogov and S. G. Pyatkov},
     title = {On solvability of some classes of transmission problems in a cylindrical space domain},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {176--206},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a24/}
}
TY  - JOUR
AU  - V. A. Belonogov
AU  - S. G. Pyatkov
TI  - On solvability of some classes of transmission problems in a cylindrical space domain
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2021
SP  - 176
EP  - 206
VL  - 18
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a24/
LA  - en
ID  - SEMR_2021_18_1_a24
ER  - 
%0 Journal Article
%A V. A. Belonogov
%A S. G. Pyatkov
%T On solvability of some classes of transmission problems in a cylindrical space domain
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2021
%P 176-206
%V 18
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a24/
%G en
%F SEMR_2021_18_1_a24
V. A. Belonogov; S. G. Pyatkov. On solvability of some classes of transmission problems in a cylindrical space domain. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 1, pp. 176-206. http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a24/