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<identifier>oai:HAL:hal-01529551v1</identifier>
<datestamp>2017-12-21</datestamp>
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<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>Topology and functoriality in (C, E,P)-algebras. Application to singular differential problems</title>
<creator>Delcroix, Antoine</creator>
<contributor>Centre de recherches et de ressources en éducation et formation (CRREF) ; Université des Antilles et de la Guyane (UAG)</contributor>
<description>International audience</description>
<source>ISSN: 0022-247X</source>
<source>Journal of Mathematical Analysis and Applications</source>
<publisher>Elsevier</publisher>
<identifier>hal-01529551</identifier>
<identifier>https://hal.univ-antilles.fr/hal-01529551</identifier>
<source>https://hal.univ-antilles.fr/hal-01529551</source>
<source>Journal of Mathematical Analysis and Applications, Elsevier, 2009, 359, pp.394-403. 〈https://www.journals.elsevier.com/journal-of-mathematical-analysis-and-applications〉. 〈10.1016/j.jmaa.2009.05.046〉</source>
<identifier>DOI : 10.1016/j.jmaa.2009.05.046</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jmaa.2009.05.046</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> Sharp topology</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 show that a new definition of the asymptotic structure of the (C,E,P)-algebras (which are a refinement of the Colombeau Generalized Algebras) allows to define a natural topology on them. Furthermore, this topology can be mixed with functorial aspects of the construction in order to give extension principles, which give powerful tools to solve singular differential problems in this framework.</description>
<date>2009-05-23</date>
</dc>
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