Integral estimates of solutions to boundary values problems for the Poisson equation
https://doi.org/10.26907/0021-3446-2023-10-70-76
Abstract
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.
About the Authors
F. G. Avkhadiev
Kazan Federal University
Russian Federation
Russian Federation
Farit G. Avkhadiev.
18 Kremlyovskaya str., Kazan, 420008
A. R. Kacimov
Sultan Qaboos University
Oman
Oman
Anvar R. Kacimov.
Al-Khod 123, PO Box 34, Sultanate Oman
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Review
For citations:
Avkhadiev F.G., Kacimov A.R. Integral estimates of solutions to boundary values problems for the Poisson equation. Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika. 2023;(10):70-76. (In Russ.) https://doi.org/10.26907/0021-3446-2023-10-70-76
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