Geodesic
Stabilization of solutions of Cauchy problems for divergence-free parabolic equations with decreasing minor coefficients
Contemporary Mathematics. Fundamental Directions, Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2011). Part 1, Tome 45 (2012), pp. 62-74.

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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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V. N. Denisov. Stabilization of solutions of Cauchy problems for divergence-free parabolic equations with decreasing minor coefficients. Contemporary Mathematics. Fundamental Directions, Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2011). Part 1, Tome 45 (2012), pp. 62-74. http://geodesic.mathdoc.fr/item/CMFD_2012_45_a4/

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