Rate of convergence in singular perturbations
Annales de l'Institut Fourier, Volume 18 (1968) no. 2, p. 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.

@article{AIF_1968__18_2_135_0,
     author = {Greenlee, Wilfred M.},
     title = {Rate of convergence in singular perturbations},
     journal = {Annales de l'Institut Fourier},
     publisher = {Imprimerie Durand},
     address = {28 - Luisant},
     volume = {18},
     number = {2},
     year = {1968},
     pages = {135-191},
     doi = {10.5802/aif.296},
     zbl = {0175.40006},
     mrnumber = {39 \#3133},
     language = {en},
     url = {http://www.numdam.org/item/AIF_1968__18_2_135_0}
}
Greenlee, Wilfred M. Rate of convergence in singular perturbations. Annales de l'Institut Fourier, Volume 18 (1968) no. 2, pp. 135-191. doi : 10.5802/aif.296. http://www.numdam.org/item/AIF_1968__18_2_135_0/

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