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Vladikavkazskii Matematicheskii Zhurnal, 2016, Volume 18, Number 4, Pages 80–85
(Mi vmj600)
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This article is cited in 5 scientific papers (total in 5 papers)
A maximum principle for a loaded hyperbolic-parabolic equation
K. U. Khubiev Institute of Applied Mathematics and Automation, Nalchik
Abstract:
We prove the maximum principle for a loaded equation of hyperbolic-parabolic type with variable coefficients. The characteristic load term is given on the degenerate line. The obtained results generalize the maximum principle for hyperbolic-parabolic equations provided in T. D. Dzhuraev's monograph, and in the hyperbolic domain the well-known Agmon–Nirenberg–Protter principle.
Key words:
maximum principle, loaded equation, equation of mixed type, hyperbolic-parabolic equation.
Received: 21.04.2016
Citation:
K. U. Khubiev, “A maximum principle for a loaded hyperbolic-parabolic equation”, Vladikavkaz. Mat. Zh., 18:4 (2016), 80–85
Linking options:
https://www.mathnet.ru/eng/vmj600 https://www.mathnet.ru/eng/vmj/v18/i4/p80
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Abstract page: | 216 | Full-text PDF : | 62 | References: | 41 |
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