Geodesic
On the solvability of Burgers-type equation with special type of non-linearity
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 5, pp. 690-699.

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A one-dimensional parabolic Burgers equation of special form with Cauchy data is considered in this paper. To prove the theorem on the solvability of this problem the method of weak approximation developed by Yu. Ya. Belov is used. The results of this paper enhance the results obtained in [2].
Keywords: inverse problem, Burgers type equation, Cauchy problem, method of weak approximation.
Mots-clés : parabolic equation 
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Igor V. Frolenkov; Roman V. Sorokin; Ivan E. Zubrov. On the solvability of Burgers-type equation with special type of non-linearity. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 5, pp. 690-699. http://geodesic.mathdoc.fr/item/JSFU_2023_16_5_a14/

[1] Yu.Ya.Belov, K.V.Korshun, Weak approximation method, Krasnoyarsk State University, Krasnoyarsk, 1999 (in Russian)

[2] I.V.Frolenkov, M.A.Darzhaa, “On the existence of solution of some problems for nonlinear loaded parabolic equations with Cauchy data”, Journal of Siberian Federal University. Mathematics $\$ Physics, 7 (2014), 173–185

[3] E.Kamke, The directory on the differential equations in partial derivatives of the first order, Nauka, M., 1966 (in Russian)

[4] Yu.Ya.Belov, I.V.Frolenkov, “Some identification problems of the coefficients in semilinearparabolic equations”, Doklady Mathematics, 404:5 (2005), 583–585 (in Russian) | MR | Zbl

[5] Yu.Ya.Belov, K.V.Korshun, “An identification problem of the source function for the Burgers equation”, Journal of Siberian Federal University. Mathematics $\$ Physics, 5:4 (2012), 497–506 (in Russian)