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JOURNALS // Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry] // Archive

Zh. Mat. Fiz. Anal. Geom., 2017 Volume 13, Number 4, Pages 344–352 (Mi jmag678)

Comparison of solutions of the nonlinear transfer equation

A. M. Kholkin, T. A. Sanikidze

Pryazovskyi State Technical University, 7 Universitets'ka St., Mariupol 87500, Ukraine

Abstract: The paper considers the evolution of nonlinear equation describing the process of energy transfer by radiation. The comparison theorem for the solutions of this equation is formulated and proved.

Key words and phrases: nonlinear transfer equation, supersolutions, subsolutions, the comparison theorem.

MSC: 35K55, 35K65

Received: 27.10.2016
Revised: 28.11.2016

Language: English

DOI: 10.15407/mag13.04.344



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© Steklov Math. Inst. of RAS, 2026