On the Solvability of a System of Two Multidimensional Loaded Parabolic Equations with the Cauchy Data
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https://elib.sfu-kras.ru/handle/2311/20403Author:
Romanenko, Galina V.
Frolenkov, Igor V.
Романенко, Галина В.
Фроленков, Игорь В.
Date:
2016-07Abstract:
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 Исследована многомерная система двух параболических нагруженных уравнений специального вида в случае данных Коши. Получены достаточные условия существования решения в классе глад-
ких ограниченных функций. Для доказательства используется метод расщепления на дифферен-
циальном уровне (метод слабой аппроксимации)
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