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.
Document type :
Journal articles
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-00265576
Contributor : Nicolas Meunier <>
Submitted on : Wednesday, March 19, 2008 - 3:56:03 PM
Last modification on : Friday, September 20, 2019 - 4:34:02 PM

Links full text

Identifiers

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⟩

Share

Metrics

Record views

192