Abstract
Existence of global solution for a 2-dimensional discrete equation of kinetics and expansion with respect to smoothness are obtained, and the effect of progressing waves generated by the operator of interaction is investigated.
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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 47, Proceedings of the Sixth International Conference on Differential and Functional Differential Equations and International Workshop “Spatio-Temporal Dynamical Systems” (Moscow, Russia, 14–21 August, 2011). Part 3, 2013.
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Radkevich, E.V. On the Large-Time Behavior of Solutions to the Cauchy Problem for a 2-dimensional Discrete Kinetic Equation. J Math Sci 202, 735–768 (2014). https://doi.org/10.1007/s10958-014-2074-x
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DOI: https://doi.org/10.1007/s10958-014-2074-x