Geodesic
On uniqueness and continuous dependence on the initial data of the solution of a system of two loaded parabolic equations with the Cauchy data
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 3, pp. 298-309

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We study the Cauchy problem for the system of one-dimensional loaded parabolic equations. Uniqueness and continuous dependence of solutions on the initial data in the class of smooth bounded functions is proved.
Keywords: loaded equation, system of parabolic equation, weak approximation method, Cauchy problem, uniqueness, continuous dependence of the solution on the initial data. 
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     title = {On uniqueness and continuous dependence on the initial data of the solution of a system of two loaded parabolic equations with the {Cauchy} data},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     url = {http://geodesic.mathdoc.fr/item/JSFU_2019_12_3_a3/}
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Igor V. Frolenkov; Irina S. Antipina; Natalya M. Terskikh. On uniqueness and continuous dependence on the initial data of the solution of a system of two loaded parabolic equations with the Cauchy data. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 3, pp. 298-309. http://geodesic.mathdoc.fr/item/JSFU_2019_12_3_a3/