@article{AFST_2005_6_14_4_593_0,
author = {Werner Balser},
title = {Summability of power series in several variables, with applications to singular perturbation problems and partial differential equations},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {593--608},
year = {2005},
publisher = {Universit\'e Paul Sabatier, Institut de Math\'ematiques},
address = {Toulouse},
volume = {Ser. 6, 14},
number = {4},
doi = {10.5802/afst.1104},
mrnumber = {2188584},
zbl = {1105.35024},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1104/}
}
TY - JOUR AU - Werner Balser TI - Summability of power series in several variables, with applications to singular perturbation problems and partial differential equations JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2005 SP - 593 EP - 608 VL - 14 IS - 4 PB - Université Paul Sabatier, Institut de Mathématiques PP - Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.1104/ DO - 10.5802/afst.1104 LA - en ID - AFST_2005_6_14_4_593_0 ER -
%0 Journal Article %A Werner Balser %T Summability of power series in several variables, with applications to singular perturbation problems and partial differential equations %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2005 %P 593-608 %V 14 %N 4 %I Université Paul Sabatier, Institut de Mathématiques %C Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.1104/ %R 10.5802/afst.1104 %G en %F AFST_2005_6_14_4_593_0
Werner Balser. Summability of power series in several variables, with applications to singular perturbation problems and partial differential equations. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 14 (2005) no. 4, pp. 593-608. doi: 10.5802/afst.1104
[1] - From Divergent Power Series to Analytic Functions, vol. 1582 of Lecture Notes in Math, Springer Verlag, New York, (1994 ). | Zbl | MR
[2] - Divergent solutions of the heat equation: on an article of Lutz, Miyake and Schäfke, Pacific J. of Math., 188, p. 53-63 (1999). | Zbl | MR
[3] - Formal power series and linear systems of meromorphic ordinary differential equations, Springer-Verlag, New York, (2000). | Zbl | MR
[4] , - Summability of formal solutions of certain partial differential equations, Acta Sci. Math. (Szeged), 65, p. 543-551 (1999). | Zbl | MR
[5] - Les fonctions résurgentes I-II, Publ. Math. d'Orsay, Université Paris Sud, (1981).
[6] - Les fonctions résurgentes III, Publ. Math. d'Orsay, Université Paris Sud, (1985). | Zbl | MR
[7] - Introduction à l'Accélération et à ses Applications, Travaux en Cours, Hermann, Paris , (1993).
[8] , , - On the Borel summability of divergent solutions of the heat equation, Nagoya Math. J., 154, p. 1-29 (1999). | Zbl | MR
[9] - Asymptotic Analysis for Integrable Connections with Irregular Singular Points, vol. 1075 of Lecture Notes in Math, Springer Verlag, New York, (1984 ). | Zbl | MR
[10] , - On the Borel summability of divergent solutions of parabolic type equations and Barnes generalized hypergeometric functions, Surikaisekikenkyusho Kokyuroku , (2000), p. 43-57. Microlocal analysis and related topics (Japanese (Kyoto, 1999). | Zbl | MR
[11] - Cohomology theorems for asymptotic sheaves, Tohoku Math. J. (2), 51, p. 447-460 (1999). | Zbl | MR
[12] - Weierstrass theorems in strong asymptotic analysis, Bull. Polish Acad. Sci. Math., 49, p. 255-268 (2001). | Zbl | MR
[13] - Sur les ensembles semi-analytiques avec conditions Gevrey au bord, Ann. scient. Éc. Norm. Sup. , 27 (1994), p. 173-208. | Numdam | MR
Cité par Sources :