LINEAR SINGULAR PERTURBATIONS OF HYPERBOLIC-PARABOLIC TYPE

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Date

2003

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Academia de Ştiinţe a Moldovei

Abstract

We study the behavior of solutions of the problem εu′′(t)+u′(t)+Au(t) =f (t), u(0) = u0, u′(0) = u1 in the Hilbert space H as ε → 0, where A is a linear,symmetric, strong positive operator.

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Keywords

singular perturbations, parabolic equation, hyperbolic equation, boundary function

Citation

PERJAN, Andrei. Linear singular perturbations of hyperbolic-parabolic type. In: Buletinul Academiei de Ştiinţe a Moldovei. Matematica. 2003, nr. 2(42), pp. 95-112. ISSN 1024-7696.

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