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Optimal control for a parabolic problem in a domain with highly oscillating boundary |
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| Authors: | U. De Maio A. Gaudiello † C. Lefter ‡ |
| Affiliation: | 1. Università degli Studi di Napoli “FedericoII” , Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Complesso Monte S. Angelo , via Cintia, 80126 Napoli, Italy udemaio@unina.it;3. Università degli Studi di Cassino , Dipartimento di Automazione, Elettromagnetismo, Ingegneria dell’Informazione e Matematica Industriale , via G. Di Biasio 43, 03043 Cassino (FR), Italia;4. Facultatea de Matematic? , Univ. “Al. I. Cuza” , Bd Carol Im. 11, 6600 Ia?i, Romania |
| Abstract: | In this article we study the homogenization of an optimal control problem for a parabolic equation in a domain with highly oscillating boundary. We identify the limit problem, which is an optimal control problem for the homogenized equation and with a different cost functional. |
| Keywords: | Optimal control Homogenization Oscillating boundary 2000 AMS Subject Classifications: 49J20 35B37 35B27 |