Geodesic
Linear singular perturbations of hyperbolic-parabolic type
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2003), pp. 95-112 
A. Perjan. Linear singular perturbations of hyperbolic-parabolic type. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2003), pp. 95-112. http://geodesic.mathdoc.fr/item/BASM_2003_2_a8/
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     title = {Linear singular perturbations of hyperbolic-parabolic type},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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[2] Gh. Moroşanu, Nonlinear Evolution Equations and Applications, Ed. Acad. Rom., Bucharest, 1988 | Zbl

[3] M. M. Lavrenitiev, K. G. Reznitskaia, B. G. Yahno, The inverse one-dimentional problems from mathematecal physics, Nauka, Novosibirsk, 1982 (in Russian)