Geodesic
On the asymptotic properties of solutions of the iterated heat equation
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 3, Tome 192 (2021), pp. 155-160.

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In this paper, we prove that stabilization theorems are valid for a certain class of solutions of the iterated heat equation.
Keywords: heat equation, iterated solution, asymptotic property. 
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P. V. Denisov. On the asymptotic properties of solutions of the iterated heat equation. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 3, Tome 192 (2021), pp. 155-160. http://geodesic.mathdoc.fr/item/INTO_2021_192_a17/

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[4] Denisov V. N., Shelepova E. V., “O skorosti stabilizatsii parabolicheskogo uravneniya”, Probl. mat. anal., 103 (2020), 85–90

[5] Nicolescu M., “Ecuatia iterata a caldurii”, Stud. Cerc. Mat., 5:3-4 (1954), 243–332

[6] Tychonoff A., “Théorèmes d'unicité pour l'équation de la chaleur”, Mat. sb., 42:2 (1935), 199–216