Asymptotic Solutions of the Wave Equation with Degenerate Velocity and with Right-Hand Side Localized in Space and Time

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2018
• ISSN: 1812-9471
• Main Authors: Anikin, A., Dobrokhotov, S., Nazaikinskii, V.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/145880
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Asymptotic Solutions of the Wave Equation with Degenerate Velocity and with Right-Hand Side Localized in Space and Time / A. Anikin, S. Dobrokhotov, V. Nazaikinskii // Журнал математической физики, анализа, геометрии. — 2018. — Т. 14, № 4. — С. 393-405. — Бібліогр.: 30 назв. — англ.

We study the Cauchy problem for the inhomogeneous two-dimensional wave equation with variable coefficients and zero initial data. The righthand side is assumed to be localized in space and time. The equation is considered in a domain with a boundary (shore). The velocity is assumed to vanish on the...