Conditions and estimates for the convergence of solutions of control problems for singularly perturbed hyperbolic systems (Q5942175)
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scientific article; zbMATH DE number 1638008
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conditions and estimates for the convergence of solutions of control problems for singularly perturbed hyperbolic systems |
scientific article; zbMATH DE number 1638008 |
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Conditions and estimates for the convergence of solutions of control problems for singularly perturbed hyperbolic systems (English)
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25 February 2004
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This paper is a continuation of the author's article [Differ. Equ. 36, 272-284 (2000); translation from Differ. Uravn. 36, 241-250 (2000; Zbl 0979.93050)]. The subject is controllability of parabolic equations by the singular perturbation method of ``making the equation hyperbolic'', adding a second derivative term with a coefficient \(\varepsilon\), and then letting the coefficient tend to zero. The author presents additional convergence results for the controls as \(\varepsilon \to 0.\)
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controllability
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singular perturbation
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hyperbolic systems
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parabolic systems
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