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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, Number 2, Pages 95–112
(Mi basm201)
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This article is cited in 6 scientific papers (total in 6 papers)
Research articles
Linear singular perturbations of hyperbolic-parabolic type
A. Perjan Faculty of Mathematics and Informatics, Moldova State University, Chişinău, Moldova
Abstract:
We study the behavior of solutions of the problem $\varepsilon u''(t)+u'(t)+Au(t)=f(t)$, $u(0)=u_0$, $u'(0)=u_1$ in the Hilbert space $H$ as $\varepsilon\to 0$, where $A$ is a linear, symmetric, strong positive operator.
Keywords and phrases:
singular perturbations, hyperbolic equation, parabolic equation, boundary function.
Received: 31.12.2002
Citation:
A. Perjan, “Linear singular perturbations of hyperbolic-parabolic type”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2003, no. 2, 95–112
Linking options:
https://www.mathnet.ru/eng/basm201 https://www.mathnet.ru/eng/basm/y2003/i2/p95
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Abstract page: | 287 | Full-text PDF : | 58 | References: | 31 | First page: | 1 |
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