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<OAI-PMH schemaLocation=http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd> <responseDate>2018-01-15T18:40:41Z</responseDate> <request identifier=oai:HAL:hal-00685042v1 verb=GetRecord metadataPrefix=oai_dc>http://api.archives-ouvertes.fr/oai/hal/</request> <GetRecord> <record> <header> <identifier>oai:HAL:hal-00685042v1</identifier> <datestamp>2017-12-21</datestamp> <setSpec>type:ART</setSpec> <setSpec>subject:math</setSpec> <setSpec>collection:INSMI</setSpec> <setSpec>collection:UNIV-AG</setSpec> <setSpec>collection:BNRMI</setSpec> </header> <metadata><dc> <publisher>HAL CCSD</publisher> <title lang=da>Some PDEs problems in generalized Sobolev algebras</title> <creator>Andouze-Bernard, Séverine</creator> <creator>Nuiro, Silvère, </creator> <contributor>Analyse ; Laboratoire de Mathématiques Informatique et Applications (LAMIA) ; Université des Antilles et de la Guyane (UAG) - Université des Antilles et de la Guyane (UAG)</contributor> <description>International audience</description> <source>Journal of Mathematical Analysis and applications</source> <publisher>Elsevier</publisher> <identifier>hal-00685042</identifier> <identifier>https://hal.archives-ouvertes.fr/hal-00685042</identifier> <source>https://hal.archives-ouvertes.fr/hal-00685042</source> <source>Journal of Mathematical Analysis and applications, Elsevier, 2012, 388, pp.647-658. 〈10.1016/j.jmaa.2011.07.063〉</source> <identifier>DOI : 10.1016/j.jmaa.2011.07.063</identifier> <relation>info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jmaa.2011.07.063</relation> <language>en</language> <subject lang=en>non positive solution</subject> <subject lang=en>PDEs problem</subject> <subject lang=en>generalized solution</subject> <subject lang=en>Sobolev algebra</subject> <subject lang=en>singular spectrum</subject> <subject lang=en>non positive solution.</subject> <subject>2000 MSC: 35J70, 46F30, 46E35, 35D05, 35B50, 35A21</subject> <subject>[MATH.MATH-GM] Mathematics [math]/General Mathematics [math.GM]</subject> <type>info:eu-repo/semantics/article</type> <type>Journal articles</type> <description lang=en>The aim of this paper is to prove that the framework of generalized functions of Sobolev type is more suitable to pose and solve some PDEs problems with very irregular data, than the one introduced by J.-F. Colombeau, when ${mathcal{C}}^{infty}$ estimates are not available or out of reach. In such type of algebras, one shows the existence and some qualitative properties of solutions for problems appearing in the mathematical modelisation of oil activities.</description> <date>2012-01-03</date> </dc> </metadata> </record> </GetRecord> </OAI-PMH>