The smooth dependence of the solution of the Neumann boundary-value "cell" problem on the parameters of a domain

Authors

  • L.A. Khilkova

DOI:

https://doi.org/10.15407/dopovidi2014.04.032

Keywords:

Neumann boundary-value, parameters of a domain

Abstract

The smooth dependence of the solution of the Neumann boundary-value "cell" problem for the Poisson equation on the parameters of a domain is proved by methods of the periodic potential theory.

Downloads

References

Bakhvalov N. S., Panasenko G. N. Averaging processes in periodic media. Mathematical problems of the mechanics of composite materials. Moscow: Nauka, 1984 (in Russian).

Shcherbina V. A. Zh. Vychisl. Mat. Mat. Fiz., 1989, 29, No. 2: 298–304 (in Russian).

Shcherbina V. A. Teoriia funktsii, funkts. analiz i ikh prilozheniia, 1986, No. 46: 132–139 (in Russian).

Marchenko V. A., Khruslov E. Ya. Averaged models of microinhomogeneous media. Kyiv: Nauk. dumka, 2005 (in Russian).

Downloads

Published

17.02.2025

How to Cite

Khilkova, L. (2025). The smooth dependence of the solution of the Neumann boundary-value "cell" problem on the parameters of a domain . Reports of the National Academy of Sciences of Ukraine, (4), 32–36. https://doi.org/10.15407/dopovidi2014.04.032

Issue

No. 4 (2014): Reports of the National Academy of Sciences of Ukraine

Section

Mathematics

License

Copyright (c) 2025 Reports of the National Academy of Sciences of Ukraine

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.