Geodesic
Limits of solutions to the singularly perturbed abstract hyperbolic-parabolic system
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2014), pp. 49-64

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We study the behavior of solutions to the problem $$ \left\{ \begin{array}{l} \varepsilon u''_\varepsilon(t)+u'_\varepsilon(t)+A(t)u _\varepsilon(t)=f_\varepsilon(t),\quad t\in(0,T),\\ u_\varepsilon(0)=u_{0\varepsilon},\quad u'_\varepsilon(0)=u_{1\varepsilon}, \end{array} \right. $$ in the Hilbert space $\mathrm H$ as $\varepsilon\to0$, where $A(t)$, $t\in(0,\infty)$, is a family of linear self-adjoint operators. 
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     author = {Andrei Perjan and Galina Rusu},
     title = {Limits of solutions to the singularly perturbed abstract hyperbolic-parabolic system},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {49--64},
     publisher = {mathdoc},
     number = {3},
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}
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Andrei Perjan; Galina Rusu. Limits of solutions to the singularly perturbed abstract hyperbolic-parabolic system. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2014), pp. 49-64. http://geodesic.mathdoc.fr/item/BASM_2014_3_a5/