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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2006, номер 1, страницы 65–84
(Mi basm86)
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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
Research articles
Limits of solutions to the semilinear wave equation with small parameter
Andrei Perjan Moldova State University
Faculty of Mathimatic and Computer Science,
Chişinău, Moldova
Аннотация:
We study the existence of the limits of solution to singularly perturbed initial boundary value problem of hyperbolic – parabolic type with boundary Dirichlet condition for the semilinear wave equation. We prove the convergence of solutions and also the convergence of gradients of solutions to perturbed problem to the corresponding solutions to the unperturbed problem as the small parameter tends to zero. We show that the derivatives of solution relative to time-variable possess the boundary layer function of the exponential type in the neighborhood of $t=0$.
Ключевые слова и фразы:
Semiliniar wave equation, singular perturbation, boundary layer function.
Поступила в редакцию: 27.09.2005
Образец цитирования:
Andrei Perjan, “Limits of solutions to the semilinear wave equation with small parameter”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2006, no. 1, 65–84
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm86 https://www.mathnet.ru/rus/basm/y2006/i1/p65
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Страница аннотации: | 282 | PDF полного текста: | 63 | Список литературы: | 56 | Первая страница: | 1 |
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