| dc.creator | Conca Rosende, Carlos | |
| dc.creator | Osses Alvarado, Axel | |
| dc.creator | Saint Jean Paulin, Jeannine | |
| dc.date.accessioned | 2013-12-27T18:45:31Z | |
| dc.date.available | 2013-12-27T18:45:31Z | |
| dc.date.created | 2013-12-27T18:45:31Z | |
| dc.date.issued | 2003 | |
| dc.identifier | J. Math. Anal. Appl. 285 (2003) 17–36 | |
| dc.identifier | DOI:10.1016/S0022-247X(02)00418-3 | |
| dc.identifier | https://repositorio.uchile.cl/handle/2250/125893 | |
| dc.description.abstract | The L2- and H1-approximate controllability and homogenization of a semilinear elliptic
boundary-value problem is studied in this paper. The principal term of the state equation has rapidly
oscillating coefficients and the control region is locally distributed. The observation region is a subset
of codimension 1 in the case of L2-approximate controllability or is locally distributed in the case
of H1-approximate controllability. By using the classical Fenchel–Rockafellar’s duality theory, the
existence of an approximate control of minimal norm is established by means of a fixed point
argument. We consider its asymptotic behavior as the rapidly oscillating coefficients H-converge.
We prove its convergence to an approximate control of minimal norm for the homogenized problem.
2003 Elsevier Inc. All rights reserved. | |
| dc.language | en_US | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Chile | |
| dc.subject | Approximate controllability | |
| dc.title | Approximate controllability and homogenization of a semilinear elliptic problem | |
| dc.type | Artículo de revista | |
