Soit un domaine et un paramètre réel positif. Considérons les deux problèmes aux limites sur , et , où et sont des opérateurs différentiels elliptiques et où le degré de 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 converge vers ;
2) Estimer la rapidité de convergence de vers , 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}, pages = {135--191}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {18}, number = {2}, year = {1968}, doi = {10.5802/aif.296}, zbl = {0175.40006}, mrnumber = {39 #3133}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.296/} }
TY - JOUR AU - Greenlee, Wilfred M. TI - Rate of convergence in singular perturbations JO - Annales de l'Institut Fourier PY - 1968 SP - 135 EP - 191 VL - 18 IS - 2 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.296/ DO - 10.5802/aif.296 LA - en ID - AIF_1968__18_2_135_0 ER -
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. https://aif.centre-mersenne.org/articles/10.5802/aif.296/
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