On the parabolic equation method for the problem of diffraction by strongly elongated spheroid

Ivan V. Andronov, Boris P. Belinskiy

Результат исследований: Научные публикации в периодических изданияхстатьярецензирование

1 Цитирования (Scopus)

Аннотация

Previously, the parabolic equation method was used to study the high-frequency acoustic diffraction by a strongly elongated spheroid. This paper represents a continuation of that study. We justify some formal steps of the parabolic equation method at the level typical for the general PDE theory. In particular, we prove that a formal solution of the parabolic equation is actually the classical solution. We prove its uniqueness. We use various asymptotic properties of the higher functions. Some of these properties are new. We study location of zeros of the Whittaker functions.

Язык оригиналаанглийский
Страницы (с-по)1176-1202
Число страниц27
ЖурналJournal of Mathematical Analysis and Applications
Том456
Номер выпуска2
DOI
СостояниеОпубликовано - 15 дек 2017

Предметные области Scopus

  • Анализ
  • Прикладная математика

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