|
This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
The Barenblatt–Zheltov–Kochina equation with boundary Neumann condition and multipoint initial-final value condition
L. A. Kovaleva, E. A. Soldatova, S. A. Zagrebina South Ural State University, Chelyabinsk, Russian Federation
Abstract:
The article is devoted to the study of the unique solvability of the Barenblatt–Zheltov–Kochina equation, equipped with the Neumann boundary condition and a multipoint initial-final value condition. This equation is degenerate or, in other words, it belongs to the Sobolev type equations. To study this equation, the authors used the methods of the theory of degenerate operator semigroups, created by Prof. G.A. Sviridyuk, and further developed by him and his students. We would also like to note that the equation under study is supplied with a multipoint initial-final value condition, which is not just a generalization of the Cauchy problem for the Sobolev type equations. This condition makes it possible to avoid checking the consistency of the initial data when finding a solution.
Keywords:
Barenblatt–Zheltov–Kochina equation, Neumann condition, multipoint initial-final value condition, unique solvability.
Received: 01.04.2019
Citation:
L. A. Kovaleva, E. A. Soldatova, S. A. Zagrebina, “The Barenblatt–Zheltov–Kochina equation with boundary Neumann condition and multipoint initial-final value condition”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 11:2 (2019), 14–19
Linking options:
https://www.mathnet.ru/eng/vyurm407 https://www.mathnet.ru/eng/vyurm/v11/i2/p14
|
Statistics & downloads: |
Abstract page: | 166 | Full-text PDF : | 44 | References: | 15 |
|