Умови регулярності розв’язків деяких параболічних систем
Анотація
UDC 517.956.4
Досліджено глобальну і локальну регулярність узагальнених розв'язків початково-крайової задачі для параболічної за Петровським системи диференціальних рівнянь другого порядку. Результати сформульовано в термінах приналежності правих частин задачі деяким узагальненим просторам Соболєва. Отримано нові достатні умови класичності узагальненого розв'язку.
Посилання
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