Надіслати цю статтю Фундаментальний розв’язок задачі Коші для вироджених параболічних рівнянь типу Колмогорова довільного порядку з виродженням на початковій гіперплощині
Анотація
Розглянуто вироджені параболічні рівняння типу Колмогорова довільного порядку з двома групами просторових змінних виродження, які до того ж мають виродження на початковій гіперплощині, і коефіцієнтами, залежними від усіх змінних. Для таких рівнянь побудовано фундаментальний розв’язок задачі Коші. Отримано оцінки цього розв’язку та його похідних.
Зразок для цитування: О. Г. Возняк, І. П. Мединський, “Фундаментальний розв’язок задачі Коші для вироджених параболічних рівнянь типу Колмогорова довільного порядку з виродженням на початковій гіперплощині”, Мат. методи та фіз.-мех. поля, 67, №1-2, 26–44 (2024), https://doi.org/10.15407/mmpmf2024.67.1-2.26-44
Ключові слова
Посилання
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