Geodesic
Integral estimates of solutions to boundary values problems for the Poisson equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2023), pp. 70-76

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

We consider solutions to two boundary values problems for the Poisson equation on plane domains. We prove several estimates for integrals of solutions using geometric characteristics of domains.
Mots-clés : Poisson equation
Keywords: Dirichlet problem, boundary values problem, isoperimetric inequality. 
@article{IVM_2023_10_a5,
     author = {F. G. Avkhadiev and A. R. Kacimov},
     title = {Integral estimates of solutions to boundary values problems for the {Poisson} equation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {70--76},
     publisher = {mathdoc},
     number = {10},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2023_10_a5/}
}
TY  - JOUR
AU  - F. G. Avkhadiev
AU  - A. R. Kacimov
TI  - Integral estimates of solutions to boundary values problems for the Poisson equation
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2023
SP  - 70
EP  - 76
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2023_10_a5/
LA  - ru
ID  - IVM_2023_10_a5
ER  - 
%0 Journal Article
%A F. G. Avkhadiev
%A A. R. Kacimov
%T Integral estimates of solutions to boundary values problems for the Poisson equation
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2023
%P 70-76
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2023_10_a5/
%G ru
%F IVM_2023_10_a5
F. G. Avkhadiev; A. R. Kacimov. Integral estimates of solutions to boundary values problems for the Poisson equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2023), pp. 70-76. http://geodesic.mathdoc.fr/item/IVM_2023_10_a5/