Limits of solutions to the singularly perturbed abstract hyperbolic-parabolic systems
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2022-12-13 11:42
SM ISO690:2012
PERJAN, Andrei, RUSU, Galina. Limits of solutions to the singularly perturbed abstract hyperbolic-parabolic systems. In: Conference of Mathematical Society of the Republic of Moldova, 19-23 august 2014, Chișinău. Chișinău: "VALINEX" SRL, 2014, 3, pp. 203-206. ISBN 978-9975-68-244-2.
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Conference of Mathematical Society of the Republic of Moldova
3, 2014
Conferința "Conference of Mathematical Society of the Republic of Moldova"
Chișinău, Moldova, 19-23 august 2014

Limits of solutions to the singularly perturbed abstract hyperbolic-parabolic systems

Pag. 203-206

Perjan Andrei, Rusu Galina
 
Moldova State University
 
 
Disponibil în IBN: 9 octombrie 2017


Rezumat

We study the behavior of solutions to the problem ½ "u00 " (t) u0 "(t) A(t)u"(t) = f"(t); t 2 (0; T); u"(0) = u0"; u0 "(0) = u1"; in the Hilbert space H as " ! 0, where A(t); t 2 (0;1); is a family of linear self-adjoint operators.

Cuvinte-cheie
singular perturbation, abstract second order Cauchy problem, boundary layer function, a priori estimate