untitled
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<identifier>oai:HAL:hal-00763938v1</identifier>
<datestamp>2017-12-21</datestamp>
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<setSpec>subject:math</setSpec>
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<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>Low-regret control of singular distributed systems: the ill-posed backwards heat problem</title>
<creator>Dorville, René</creator>
<creator>Nakoulima, Ousseynou</creator>
<creator>Omrane, Abdennebi</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: 0893-9659</source>
<source>Applied Mathematics Letters</source>
<publisher>Elsevier</publisher>
<identifier>hal-00763938</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00763938</identifier>
<source>https://hal.univ-antilles.fr/hal-00763938</source>
<source>Applied Mathematics Letters, Elsevier, 2004, pp.549-552. 〈10.1016/j.aml.2003.04.006〉</source>
<identifier>DOI : 10.1016/j.aml.2003.04.006</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.1016/j.aml.2003.04.006</relation>
<language>en</language>
<subject lang=en>Ill-posed problems</subject>
<subject lang=en>Heat equation</subject>
<subject lang=en>Low-regret control</subject>
<subject lang=en>Regularization</subject>
<subject lang=en>Problems of incomplete data</subject>
<subject>[MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>We use the low-regret notion of Lions for the control of a class of singular distributed systems: the ill-posed problems. A regularization approach is applied to the backwards heat equation, and we obtain a problem of incomplete data, for which the method of Nakoulima et al. is developed. Passing to the limit, a singular optimality system is obtained for the low-regret control of the original problem without any Slater hypothesis.</description>
<date>2004</date>
</dc>
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