untitled
<OAI-PMH schemaLocation=http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd>
<responseDate>2018-01-17T12:16:58Z</responseDate>
<request identifier=oai:HAL:hal-01679144v1 verb=GetRecord metadataPrefix=oai_dc>http://api.archives-ouvertes.fr/oai/hal/</request>
<GetRecord>
<record>
<header>
<identifier>oai:HAL:hal-01679144v1</identifier>
<datestamp>2018-01-10</datestamp>
<setSpec>type:ART</setSpec>
<setSpec>subject:math</setSpec>
<setSpec>collection:UNIV-AG</setSpec>
<setSpec>collection:INSMI</setSpec>
<setSpec>collection:BNRMI</setSpec>
<setSpec>collection:TDS-MACS</setSpec>
<setSpec>collection:CEREGMIA</setSpec>
</header>
<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>A null controllability problem with a finite number of constraints on the normal derivative for the semilinear heat equation</title>
<creator>Louis-Rose, Carole</creator>
<contributor>Centre de Recherche en Economie, Gestion, Modélisation et Informatique Appliquée (CEREGMIA) ; Université des Antilles et de la Guyane (UAG)</contributor>
<description>International audience</description>
<source>ISSN: 1417-3875</source>
<source>Electronic Journal of Qualitative Theory of Differential Equations</source>
<publisher>University of Szeged, Bolyai Institute</publisher>
<identifier>hal-01679144</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-01679144</identifier>
<source>https://hal.archives-ouvertes.fr/hal-01679144</source>
<source>Electronic Journal of Qualitative Theory of Differential Equations, University of Szeged, Bolyai Institute, 2012, pp.1 - 34. 〈10.14232/ejqtde.2012.1.95〉</source>
<identifier>DOI : 10.14232/ejqtde.2012.1.95</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.14232/ejqtde.2012.1.95</relation>
<language>en</language>
<subject>[MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP]</subject>
<subject>[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>We consider the semilinear heat equation in a boundeddomain of R^m. We prove the null controllability of the systemwith a finite number of constraints on the normal derivative, whenthe control acts on a bounded subset of the domain. First, weshow that the problem can be transformed into a null controllabilityproblem with constraint on the control, for a linear system.Then, we use an appropriate observability inequality to solve thelinearized problem. Finally, we prove the main result by means ofa fixed-point method.</description>
<date>2012</date>
</dc>
</metadata>
</record>
</GetRecord>
</OAI-PMH>
