Éditeur(s) :
HAL CCSD Elsevier Résumé : International audience
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.
ISSN: 0022-247X
hal-01529551
https://hal.univ-antilles.fr/hal-01529551 DOI : 10.1016/j.jmaa.2009.05.046