Geodesic
Smoothness of generalized solutions to the Dirichlet problem for strongly elliptic functional differential equations with orthotropic contractions on the boundary of adjacent subdomains
Contemporary Mathematics. Fundamental Directions, Contemporary Mathematics. Fundamental Directions, Tome 69 (2023) no. 1, pp. 152-165

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

The paper is devoted to the study of the smoothness of generalized solutions of the first boundary-value problem for a strongly elliptic functional differential equation containing orthotropic contraction transformations of the arguments of the unknown function in the leading part. The problem is considered in a circle, the coefficients of the equation are constant. Orthotropic contraction is understood as different contraction in different variables. Conditions for the conservation of smoothness on the boundaries of neighboring subdomains formed by the action of the contraction transformation group on a circle are found in explicit form for any right-hand side from the Lebesgue space.
Keywords: strongly elliptic functional differential equation, orthotropic contraction of arguments, smoothness of generalized solutions. 
@article{CMFD_2023_69_1_a9,
     author = {A. L. Tasevich},
     title = {Smoothness of generalized solutions to the {Dirichlet} problem for strongly elliptic functional differential equations with orthotropic contractions on the boundary of adjacent subdomains},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {152--165},
     publisher = {mathdoc},
     volume = {69},
     number = {1},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2023_69_1_a9/}
}
TY  - JOUR
AU  - A. L. Tasevich
TI  - Smoothness of generalized solutions to the Dirichlet problem for strongly elliptic functional differential equations with orthotropic contractions on the boundary of adjacent subdomains
JO  - Contemporary Mathematics. Fundamental Directions
PY  - 2023
SP  - 152
EP  - 165
VL  - 69
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMFD_2023_69_1_a9/
LA  - ru
ID  - CMFD_2023_69_1_a9
ER  - 
%0 Journal Article
%A A. L. Tasevich
%T Smoothness of generalized solutions to the Dirichlet problem for strongly elliptic functional differential equations with orthotropic contractions on the boundary of adjacent subdomains
%J Contemporary Mathematics. Fundamental Directions
%D 2023
%P 152-165
%V 69
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMFD_2023_69_1_a9/
%G ru
%F CMFD_2023_69_1_a9
A. L. Tasevich. Smoothness of generalized solutions to the Dirichlet problem for strongly elliptic functional differential equations with orthotropic contractions on the boundary of adjacent subdomains. Contemporary Mathematics. Fundamental Directions, Contemporary Mathematics. Fundamental Directions, Tome 69 (2023) no. 1, pp. 152-165. http://geodesic.mathdoc.fr/item/CMFD_2023_69_1_a9/