Averaging of the periodic by time boundary value problem for the nonlinear wave equation in a perforated domain

• Veröffentlicht in: Нелинейные граничные задачи
• Datum: 1999
• ISSN: 0236-0497
• 1. Verfasser: Sidenko, N.R.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 1999
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/169277
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Averaging of the periodic by time boundary value problem for the nonlinear wave equation in a perforated domain / N.R. Sidenko // Нелинейные граничные задачи: сб. науч. тр. — 1999. — Т. 9. — С. 92-97. — Бібліогр.: 2 назв. — англ.

In a bounded domain with infinitely increasing quantity of infinitesimal holes whose asymptotic behaviour is described formally, the homogeneous Dirichlet problem for the equation with additional power nonlinearity on the time derivative of the solution is averaged.