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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>2018-01-17T12:09:04Z</responseDate> <request identifier=oai:HAL:hal-01529550v1 verb=GetRecord metadataPrefix=oai_dc>http://api.archives-ouvertes.fr/oai/hal/</request> <GetRecord> <record> <header> <identifier>oai:HAL:hal-01529550v1</identifier> <datestamp>2017-12-21</datestamp> <setSpec>type:ART</setSpec> <setSpec>subject:math</setSpec> <setSpec>collection:UNIV-AG</setSpec> <setSpec>collection:INSMI</setSpec> <setSpec>collection:BNRMI</setSpec> <setSpec>collection:CEREGMIA</setSpec> </header> <metadata><dc> <publisher>HAL CCSD</publisher> <title lang=en>Generalized solutions of singular differential problems. Relationship with classical solutions</title> <creator>Delcroix, Antoine</creator> <creator>Devoue, Victor</creator> <creator>Marti, Jean-André</creator> <contributor>Centre de recherches et de ressources en éducation et formation (CRREF) ; Université des Antilles et de la Guyane (UAG)</contributor> <contributor>Analyse Optimisation Controle (AOC) ; Université des Antilles et de la Guyane (UAG)</contributor> <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>Journal of Mathematical Analysis and applications</source> <publisher>Elsevier</publisher> <identifier>hal-01529550</identifier> <identifier>https://hal.univ-antilles.fr/hal-01529550</identifier> <source>https://hal.univ-antilles.fr/hal-01529550</source> <source>Journal of Mathematical Analysis and applications, Elsevier, 2008, 353, pp.386-402. 〈https://www.journals.elsevier.com/journal-of-mathematical-analysis-and-applications〉. 〈10.1016/j.jmaa.2008.11.077〉</source> <identifier>DOI : 10.1016/j.jmaa.2008.11.077</identifier> <relation>info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jmaa.2008.11.077</relation> <source>https://www.journals.elsevier.com/journal-of-mathematical-analysis-and-applications</source> <language>en</language> <subject lang=en> Wave equation</subject> <subject lang=en>Regularization of data</subject> <subject lang=en> Regularization of problems</subject> <subject lang=en> Distributions</subject> <subject lang=en> Nonlinear generalized functions</subject> <subject lang=en> Nonlinear problems</subject> <subject lang=en> Characteristic problems</subject> <subject>[MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA]</subject> <type>info:eu-repo/semantics/article</type> <type>Journal articles</type> <description lang=en>We discuss various methods of regularization of singular differential problems. Their common point is that we use the flexibility of the theories of nonlinear generalized functions for adapting the regularization to the singularity of the problem. We particularly underline the relationship between the generalized solutions and those classical or distribution, when they exist, giving a general result for the case of the regularization of data.</description> <date>2008-12-03</date> </dc> </metadata> </record> </GetRecord> </OAI-PMH>