КРИТЕРИЙ ОДНОЗНАЧНОЙ РАЗРЕШИМОСТИ СПЕКТРАЛЬНЫХ ЗАДАЧ ДИРИХЛЕ И ПУАНКАРЕ ДЛЯ МНОГОМЕРНОГО УРАВНЕНИЯ ЭЙЛЕРА - ДАРБУ - ПУАССОНА
DOI:
https://doi.org/10.18413/2687-0959-2020-52-2-139-145Ключевые слова:
критерий, спектральные задачи, многомерное уравпепие, цилиндрическая область, функция БесселяАннотация
В цилиндрической области евклидова пространства для многомерного уравпепия Эйлера - Дарбу — Пуассона рассматриваются спектральные задачи Дирихле и Пуанкаре. Решение ищется в виде разложения по многомерным сферическим функциям. Доказаны теоремы существования и едипствеппо- сти классического решепия. Получены условия однозначной разрешимости поставленных задач, которые существенно зависят от высоты цилиндра.
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Библиографические ссылки
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