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Эта публикация цитируется в 180 научных статьях (всего в 181 статьях)
Некоторые вопросы качественной теории нелинейных
вырождающихся параболических уравнений второго порядка
А. С. Калашников
Аннотация:
В статье дан обзор ряда результатов, относящихся
к нелинейным параболическим уравнениям второго порядка
с неявным вырождением. Рассмотрены следующие вопросы:
теоремы существования и единственности; оценки и дифференциальные
свойства обобщенных решений; поведение
обобщенных решений при малых значениях времени (конечная
скорость распространения возмущений, характер эволюции
носителя); поведение обобщенных решений при больших
значениях времени (стабилизация за конечное время, локализация
возмущений, асимптотические формулы).
Библ. 272 назв.
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Англоязычная версия:
Russian Mathematical Surveys, 1987, 42:2, 169–222
Реферативные базы данных:
УДК:
517.956
MSC: 35K20, 35A05, 35B40, 35B20 Поступила в редакцию: 09.09.1986
Образец цитирования:
А. С. Калашников, “Некоторые вопросы качественной теории нелинейных
вырождающихся параболических уравнений второго порядка”, УМН, 42:2(254) (1987), 135–176; Russian Math. Surveys, 42:2 (1987), 169–222
Цитирование в формате AMSBIB
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вырождающихся параболических уравнений второго порядка
\jour УМН
\yr 1987
\vol 42
\issue 2(254)
\pages 135--176
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\yr 1987
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