Various kinds of sensitive singular perturbations

@inproceedings{Meunier2008VariousKO,
  title={Various kinds of sensitive singular perturbations},
  author={Nicolas Meunier and Jacqueline Sanchez-Hubert and {\'E}variste Sanchez-Palencia},
  year={2008}
}
  • Nicolas Meunier, Jacqueline Sanchez-Hubert, Évariste Sanchez-Palencia
  • Published 2008
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… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 14 references

Sanchez-Palencia – Sensitive versus classical perturbation problem via Fourier transform, Math

E. N. Meunier
Models Methods Appl. Sci • 2007
View 5 Excerpts
Highly Influenced

Sanchez-Palencia – Sensitivity phenomena for certain thin elastic shells with edges, Math

E. P. Gerard
Methods Appl. Sci • 2000
View 4 Excerpts
Highly Influenced

Sanchez-Palencia – Problèmes sensitifs et coques élastiques minces, in Partial differential equations and functional analysis, Progr

E.J.-L. Lions
Nonlinear Differential Equations Appl., • 1996
View 5 Excerpts
Highly Influenced

Complexification phenomena in certain singular perturbations, in Fluid Mechanics

E. Sanchez-Palencia, C. De Souza
ed., CIMNE, Barcelona, • 2004
View 1 Excerpt

Étude générale d’un type de problèmes raides et de perturbation singulière

D. Caillerie
C. R. Acad. Sci. Paris Sér. I, Math • 1996

Komech – Linear partial differential equations with constant coefficients, in Partial differential equations, II

A I.
Encyclopaedia Math. Sci., • 1994
View 1 Excerpt

Asymptotic and spectral properties of a class of singular-stiff problems

E. Sanchez-Palencia
J. Math. Pures Appl. (9) • 1992
View 1 Excerpt

Hilbert – Methods of mathematical physics

D. R. Courant
1989
View 2 Excerpts

Sanchez-Palencia – Vibration and coupling of continuous systems, Springer-Verlag, Berlin

E. J. Sanchez-Hubert
1989
View 2 Excerpts

Volevich – The Cauchy problem, in Partial differential equations, 3 (Russian)

L.R.S.G. Gindikin
Itogi Nauki i Tekhniki, Akad. Nauk SSSR Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, • 1988
View 1 Excerpt

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