Integral estimates of solutions to boundary values problems for the Poisson equation-Reference-Cited by-同舟云学术

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Integral estimates of solutions to boundary values problems for the Poisson equation

Published:2023-10-27 Issue:10 Volume: Page:70-76
ISSN:2076-4626
Container-title:Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
language:
Short-container-title:jour

Author:

Avkhadiev F. G.¹,Kacimov A. R.²

Affiliation:

1. Kazan Federal University

2. Sultan Qaboos University

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.

Publisher

Kazan Federal University

Subject

General Earth and Planetary Sciences,General Environmental Science

Reference20 articles.

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2. Strack O.D. Analytical Groundwater Mechanics (Cambridge Univ. Press, Cambridge, 2017).

3. Blunt M.J Multiphase Flow in Permeable Media: A Pore-Scale Perspective (Cambridge Univ. Press, Cambridge, 2017).

4. Shah R.K., London A.L. Laminar Flow Forced Convection in Ducts: a Source Book for Compact Heat Exchanger Analytical Data (Academic Press, New York, 1978).

5. Timoshenko S.P. History of Strength of Materials (McGraw-Hill, London, 1954).

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