# 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} }

- 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

#### From This Paper

##### Figures, tables, and topics from this paper.

#### Citations

##### Publications citing this paper.

Showing 1-2 of 2 extracted citations

#### References

##### Publications referenced by this paper.

Showing 1-10 of 14 references

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

View 5 Excerpts

Highly Influenced

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

View 4 Excerpts

Highly Influenced

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

View 5 Excerpts

Highly Influenced

## Complexification phenomena in certain singular perturbations, in Fluid Mechanics

View 1 Excerpt

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

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

View 1 Excerpt

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

View 1 Excerpt

## Hilbert – Methods of mathematical physics

View 2 Excerpts

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

View 2 Excerpts

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

View 1 Excerpt