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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 2, Pages 365–376 (Mi smj2311)  
The maximum and comparison principles for a system of two equations

D. V. Portnyagin

Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, L'vov, Ukraine
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Abstract: We propose a method of generalizing the well-known maximum and comparison principles to nondiagonal parabolic systems of second order nonlinear differential equations. Under consideration are the cases of Dirichlet and Neumann problems. We also present some examples of the systems that this method applies to.
Keywords: nondiagonal parabolic system, nondiagonal elliptic system, maximum principle, comparison principle.
Received: 11.11.2010
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 2, Pages 291–300
DOI: https://doi.org/10.1134/S0037446612020115
Bibliographic databases:
Document Type: Article
UDC: 517.956.2
Language: Russian
Citation: D. V. Portnyagin, “The maximum and comparison principles for a system of two equations”, Sibirsk. Mat. Zh., 53:2 (2012), 365–376; Siberian Math. J., 53:2 (2012), 291–300
Citation in format AMSBIB
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