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dc.creatorMENEZES, Silvano Dias Bezerra de-
dc.date.accessioned2014-12-15T16:28:42Z-
dc.date.available2014-12-15T16:28:42Z-
dc.date.issued2003-
dc.identifier.citationMENEZES, Silvano Bezerra de. Approximate controllability for the semilinear heat equation in RN involving gradient terms. Computational & Applied Mathematics, São Carlos, v. 22, n. 1, p. 123-148, 2003. Disponível em: <http://www.scielo.br/pdf/cam/v22n1/08v22n1.pdf>. Acesso em: 28 nov. 2014.pt_BR
dc.identifier.issn1807-0302-
dc.identifier.urihttp://repositorio.ufpa.br/jspui/handle/2011/6161-
dc.description.abstractWe prove the approximate controllability of the semilinear heat equation in RN, when the nonlinear term is globally Lipschitz and depends both on the state u and its spatial gradient Ñu. The approximate controllability is viewed as the limit of a sequence of optimal control problems. In order to avoid the difficulties related to the lack of compactness of the Sobolev embeddings, we work with the similarity variables and use weighted Sobolev spaces.pt_BR
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dc.description.provenanceSubmitted by Edisangela Bastos (edisangela@ufpa.br) on 2014-12-10T21:49:49Z No. of bitstreams: 2 license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) Artigo_ApproximateControllabilitySemilinear.pdf: 169049 bytes, checksum: 81843973490e1cce11cb2225818e2e02 (MD5)en
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dc.description.provenanceMade available in DSpace on 2014-12-15T16:28:42Z (GMT). No. of bitstreams: 2 license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) Artigo_ApproximateControllabilitySemilinear.pdf: 169049 bytes, checksum: 81843973490e1cce11cb2225818e2e02 (MD5) Previous issue date: 2003en
dc.language.isoengpt_BR
dc.rightsAcesso Aberto-
dc.subjectEquação diferencial elipticapt_BR
dc.subjectEquação diferencial não-linearpt_BR
dc.subjectEquação de calorpt_BR
dc.subjectControlabilidade aproximada finitapt_BR
dc.subjectEspaço de Sobolevpt_BR
dc.titleApproximate controllability for the semilinear heat equation in RN involving gradient termspt_BR
dc.typeArtigo de Periódicopt_BR
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