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<identifier>oai:HAL:hal-00720818v1</identifier>
<datestamp>2017-12-21</datestamp>
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<setSpec>subject:math</setSpec>
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<setSpec>collection:CEREGMIA</setSpec>
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<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>A method for detecting pollution in dissipative systems with incomplete data</title>
<creator>Miloudi, Yamina</creator>
<creator>Nakoulima, Ousseynou</creator>
<creator>Omrane, Abdennebi</creator>
<contributor>Département de Mathématiques ; Université d'Oran Es-Senia</contributor>
<contributor>Centre de Recherche en Economie, Gestion, Modélisation et Informatique Appliquée (CEREGMIA) ; Université des Antilles et de la Guyane (UAG)</contributor>
<contributor>Analyse Optimisation Controle (AOC) ; Université des Antilles et de la Guyane (UAG)</contributor>
<description>International audience</description>
<source>ISSN: 1270-900X</source>
<source>ESAIM: Proceedings</source>
<publisher>EDP Sciences</publisher>
<identifier>hal-00720818</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00720818</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00720818/document</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00720818/file/esaimpr2.pdf</identifier>
<source>https://hal.univ-antilles.fr/hal-00720818</source>
<source>ESAIM: Proceedings, EDP Sciences, 2007, 17, pp.67-79</source>
<language>en</language>
<subject lang=it>Dissipative problems</subject>
<subject lang=it>ecosystems</subject>
<subject lang=it>incomplete data</subject>
<subject lang=it>parabolic equation</subject>
<subject lang=it>null-controllability</subject>
<subject lang=it>sentinels</subject>
<subject lang=it>observation</subject>
<subject lang=it>pollution</subject>
<subject lang=it>Carleman inequalities</subject>
<subject lang=it>Inverse problems</subject>
<subject>[MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>Modelling environmental problems leads to mathematical systems with missing data. For instance, weather problems have generally missing initial conditions. The paper is concerned with identifying pollution terms arising in the state equation of some dissipative system with incomplete initial condition. To this aim the so-called sentinel method is used. Here, the problem of determining a sentinel is equivalent to a null-controllability problem for which Carleman inequalities are revisited.</description>
<date>2007-04</date>
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