LIMITS OF SOLUTIONS TO THE SINGULARLY PERTURBED ABSTRACT HYPERBOLIC-PARABOLIC SYSTEM
Date
2014
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Abstract
We study the behavior of solutions to the problem εu′′ε(t) +u′ε(t) +A(t)uε(t) =fε(t), t∈(0, T),
uε(0) =u0ε, u′ε(0) =u1ε,in the Hilbert space H asε→0, whereA(t), t∈(0,∞),is a family of linear self-adjoint
Description
Keywords
Singular perturbations, abstract second order Cauchy problem, boundary layer function
Citation
PERJAN, A., RUSU, G. Limits of solutions to the singularly perturbed abstract hyperbolic-parabolic system. In: Buletinul Academiei de Ştiinţe a Republicii Moldova : Matematica. 2014, nr. 3(76), pp.49-64. ISSN 1024-7696.