Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Klein-Gordon Equation as a Result of Wave Equation Averaging on the Riemannian Manifold of Complex Microstructure
Репозиторій DSpace/Manakin
JavaScript is disabled for your browser. Some features of this site may not work without it.
Klein-Gordon Equation as a Result of Wave Equation Averaging on the Riemannian Manifold of Complex Microstructure
Посилання:
Klein-Gordon Equation as a Result of Wave Equation Averaging on the Riemannian Manifold of Complex Microstructure / A.V. Khrabustovskyi // Журнал математической физики, анализа, геометрии. — 2007. — Т. 3, № 2. — С. 213-233. — Бібліогр.: 5 назв. — англ.
Підтримка:
The Author thanks deeply Prof. E.Ya. Khruslov for the statement of problem and the attention he paid to this work.
Дата:
2007
Переглядів:
776
Завантажень:
346
Анотація:
An asymptotic behavior of solution of the Cauchy problem for the wave equation is studied on the Riemannian manifold Mε depending on a small parameter ε. It is supposed that a topological type of Mε increases as ε → 0. The averaged equation is derived, it describes the asymptotic behavior of the original Cauchy problem as ε → 0.
