Rate of convergence in singular perturbations
Greenlee, Wilfred M.
Annales de l'Institut Fourier, Tome 18 (1968), p. 135-191 / Harvested from Numdam
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Soit D⊂R n un domaine et ε un paramètre réel positif. Considérons les deux problèmes aux limites sur D, (ε𝒰+ℬw ε =f et ℬu=f, où 𝒰 et ℬ sont des opérateurs différentiels elliptiques et où le degré de 𝒰 est supérieur au degré de ℬ.

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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     author = {Greenlee, Wilfred M.},
     title = {Rate of convergence in singular perturbations},
     journal = {Annales de l'Institut Fourier},
     volume = {18},
     year = {1968},
     pages = {135-191},
     doi = {10.5802/aif.296},
     mrnumber = {39 \#3133},
     zbl = {0175.40006},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1968__18_2_135_0}
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Greenlee, Wilfred M. Rate of convergence in singular perturbations. Annales de l'Institut Fourier, Tome 18 (1968) pp. 135-191. doi : 10.5802/aif.296. http://gdmltest.u-ga.fr/item/AIF_1968__18_2_135_0/

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