Abstract
Exact sufficient conditions on minor coefficients of parabolic equation are considered in this work. These conditions guarantee the stabilization of solutions of the Cauchy problem to zero in some classes of increasing initial functions.
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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 45, 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 1, 2012.
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Denisov, V.N. Stabilization of Solutions of Cauchy Problems for Divergence-Free Parabolic Equations with Decreasing Minor Coefficients. J Math Sci 201, 581–594 (2014). https://doi.org/10.1007/s10958-014-2013-x
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DOI: https://doi.org/10.1007/s10958-014-2013-x