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Authordc.contributor.authorConca Rosende, Carlos 
Authordc.contributor.authorOsses Alvarado, Axel es_CL
Authordc.contributor.authorSaint Jean Paulin, Jeannine es_CL
Admission datedc.date.accessioned2013-12-27T18:45:31Z
Available datedc.date.available2013-12-27T18:45:31Z
Publication datedc.date.issued2003
Cita de ítemdc.identifier.citationJ. Math. Anal. Appl. 285 (2003) 17–36en_US
Identifierdc.identifier.otherDOI:10.1016/S0022-247X(02)00418-3
Identifierdc.identifier.urihttps://repositorio.uchile.cl/handle/2250/125893
Abstractdc.description.abstractThe 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.en_US
Lenguagedc.language.isoen_USen_US
Type of licensedc.rightsAttribution-NonCommercial-NoDerivs 3.0 Chile*
Link to Licensedc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/*
Keywordsdc.subjectApproximate controllabilityen_US
Títulodc.titleApproximate controllability and homogenization of a semilinear elliptic problemen_US
Document typedc.typeArtículo de revista


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Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Chile