Geodesic
On the solvability of a system of two multidimensional loaded parabolic equations with the Cauchy data
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 3, pp. 364-373

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We study a multidimensional system of two loaded parabolic equations of a special kind with the Cauchy data. Sufficient conditions for the existence of a solution in the class of smooth bounded functions are obtained. The splitting method at differential level (the method of weak approximation) is used in the proof.
Keywords: inverse problem, direct problem, loaded equation, weak approximation method, system of partial differential equations, Cauchy problem.
Mots-clés : parabolic equation 
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Galina V. Romanenko; Igor V. Frolenkov. On the solvability of a system of two multidimensional loaded parabolic equations with the Cauchy data. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 3, pp. 364-373. http://geodesic.mathdoc.fr/item/JSFU_2016_9_3_a11/