Recent controllability results for the wave equation in domains with small holes

Patrizia Donato

doi:10.1117/12.148422

22 July 1993 Recent controllability results for the wave equation in domains with small holes

Patrizia Donato

Proceedings Volume 1919, Smart Structures and Materials 1993: Mathematics in Smart Structures; (1993) https://doi.org/10.1117/12.148422
Event: 1993 North American Conference on Smart Structures and Materials, 1993, Albuquerque, NM, United States

Abstract

An important problem in the applications is the controllability for perturbed systems. A special kind of perturbed systems, depending on a small parameter (epsilon) is the wave equation when the coefficients are rapidly oscillating or when posed in periodically perforated domains. Then a limit system (in the homogenization theory sense) can be defined. We present here a review of some recent results for exact and approximate controllability in these situations.

Citation Download Citation

Patrizia Donato "Recent controllability results for the wave equation in domains with small holes", Proc. SPIE 1919, Smart Structures and Materials 1993: Mathematics in Smart Structures, (22 July 1993); https://doi.org/10.1117/12.148422

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