Various kinds of sensitive singular perturbations

Abstract : We consider variational problems of P. D. E. depending on a small parameter ϵ when the limit process ϵ↓0 implies vanishing of the higher order terms. The perturbation problem is said to be sensitive when the energy space of the limit problem is out of the distribution space, so that the limit problem is out of classical theory of P. D. E. We present here a review of the subject, including abstract convergence theorems and two very different model problems (the second one is presented for the first time). For each one we prove the sensitive character and we give a formal asymptotics for the behavior ϵ↓0.
Type de document :
Article dans une revue
Annales mathématiques Blaise Pascal, cedram, 2007, pp.199-242. 〈10.5802/ambp.233〉
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00265576
Contributeur : Nicolas Meunier <>
Soumis le : mercredi 19 mars 2008 - 15:56:03
Dernière modification le : mardi 4 décembre 2018 - 01:23:59

Lien texte intégral

Identifiants

Citation

Nicolas Meunier, Evariste Sanchez Palencia, Jacqueline; Sanchez Hubert. Various kinds of sensitive singular perturbations. Annales mathématiques Blaise Pascal, cedram, 2007, pp.199-242. 〈10.5802/ambp.233〉. 〈hal-00265576〉

Partager

Métriques

Consultations de la notice

124