Geodesic
On behavior of solutions of parabolic nondivergent equations with increasing higher-order coefficients at large values of time
Contemporary Mathematics. Fundamental Directions, Proceedings of the Seminar on Differential and Functional Differential Equations supervised by A. L. Skubachevskii (Peoples' Friendship University of Russia), Tome 62 (2016), pp. 72-84

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We investigate sufficient conditions of stabilization to zero for solutions of the Cauchy problem for linear parabolic second-order equation with increasing higher-order coefficients and initial-value functions of power growth rate at infinity. 
@article{CMFD_2016_62_a4,
     author = {V. N. Denisov},
     title = {On behavior of solutions of parabolic nondivergent equations with increasing higher-order coefficients at large values of time},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {72--84},
     publisher = {mathdoc},
     volume = {62},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2016_62_a4/}
}
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V. N. Denisov. On behavior of solutions of parabolic nondivergent equations with increasing higher-order coefficients at large values of time. Contemporary Mathematics. Fundamental Directions, Proceedings of the Seminar on Differential and Functional Differential Equations supervised by A. L. Skubachevskii (Peoples' Friendship University of Russia), Tome 62 (2016), pp. 72-84. http://geodesic.mathdoc.fr/item/CMFD_2016_62_a4/