NDLI: Goursat problem for three-dimensional second-order partial operator-differential equations with variable domains

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Goursat problem for three-dimensional second-order partial operator-differential equations with variable domains

Content Provider	Semantic Scholar
Author	Lomovtsev, F. E. Motevich, A. V.
Copyright Year	2014
Abstract	Доказана корректность по Адамару задачи Гурса для полных гиперболических дифференциально-операторных уравнений в частных производных по трехмерному параметру (времени) с зависящими от времени областями определения операторов. Предложен метод расширения неограниченных операторов краевых задач из позитивных пространств в негативные пространства для доказательства существования их сильных решений. Показана корректность новой частично характеристической краевой задачи для уравнения в частных производных второго порядка с трехмерным временем при условиях типа Гурса и нестационарных пространственных граничных условиях. Ключевые слова: трехмерная задача Гурса, корректность по Адамару, дифференциально-операторное уравнение в частных производных, переменная область определения, метод расширения в негативное пространство.
File Format	PDF HTM / HTML
Alternate Webpage(s)	https://lib.vsu.by/xmlui/bitstream/handle/123456789/225/v13no1p12.pdf?isAllowed=y&sequence=1
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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