Rate of convergence in singular perturbations
Annales de l'Institut Fourier, Tome 18 (1968) no. 2, pp. 135-191.

Soit DR n un domaine et ε un paramètre réel positif. Considérons les deux problèmes aux limites sur D, (ε𝒰+w ε =f et u=f, où 𝒰 et sont des opérateurs différentiels elliptiques et où le degré de 𝒰 est supérieur au degré de .

En utilisant l’interpolation quadratique entre espaces de Hilbert, on étudie les problèmes suivants :

1) Déterminer les normes pour lesquelles w ε converge vers u ;

2) Estimer la rapidité de convergence de w ε vers u, pour ces normes.

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     title = {Rate of convergence in singular perturbations},
     journal = {Annales de l'Institut Fourier},
     pages = {135--191},
     publisher = {Institut Fourier},
     address = {Grenoble},
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     year = {1968},
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     url = {http://archive.numdam.org/articles/10.5802/aif.296/}
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Greenlee, Wilfred M. Rate of convergence in singular perturbations. Annales de l'Institut Fourier, Tome 18 (1968) no. 2, pp. 135-191. doi : 10.5802/aif.296. http://archive.numdam.org/articles/10.5802/aif.296/

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