@article{AFST_2004_6_13_4_551_0, author = {Costin, Rodica D.}, title = {Power and exponential-power series solutions of evolution equations}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {551--573}, publisher = {Universit\'e Paul Sabatier, Institut de math\'ematiques}, address = {Toulouse}, volume = {Ser. 6, 13}, number = {4}, year = {2004}, mrnumber = {2116817}, zbl = {1076.35024}, language = {en}, url = {http://www.numdam.org/item/AFST_2004_6_13_4_551_0/} }
TY - JOUR AU - Costin, Rodica D. TI - Power and exponential-power series solutions of evolution equations JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2004 SP - 551 EP - 573 VL - 13 IS - 4 PB - Université Paul Sabatier, Institut de mathématiques PP - Toulouse UR - http://www.numdam.org/item/AFST_2004_6_13_4_551_0/ LA - en ID - AFST_2004_6_13_4_551_0 ER -
%0 Journal Article %A Costin, Rodica D. %T Power and exponential-power series solutions of evolution equations %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2004 %P 551-573 %V 13 %N 4 %I Université Paul Sabatier, Institut de mathématiques %C Toulouse %U http://www.numdam.org/item/AFST_2004_6_13_4_551_0/ %G en %F AFST_2004_6_13_4_551_0
Costin, Rodica D. Power and exponential-power series solutions of evolution equations. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 13 (2004) no. 4, pp. 551-573. http://www.numdam.org/item/AFST_2004_6_13_4_551_0/
[1] Divergent solutions of the heat equation: on an article of Lutz, Miyake, and Schäfke, Pacific J. Math. 188, no.1, 53-63 (1999). | MR | Zbl
-[2] Transseries for a class of nonlinear difference equations, J. Differ. Equations Appl. 7, no. 5, 717-750 (2001). | MR | Zbl
-[3] Fonctions Resurgentes, Publications Mathematiques d'Orsay ( 1981).
-[4] Bifurcations and periodic orbits of vector fields, NATO ASI Series, Vol. 408 (1993).
- In[5] Finitude des cycles limites., Preprint 90-36 of Universite de Paris-Sud (1990 ). | MR
-[6] Exponential asymptotics, transseries, and generalized Borel summation for analytic rank one systems of ODE's, IMRN, No. 8, p. 377-417 (1995). | MR | Zbl
-[7] On Borel summation and Stokes phenomena of nonlinear differential systems, Duke Math. J., 93, n° 2, 289-344 (1998). | Zbl
-[8] Correlation between pole location and asymptotic behavior for Painlevé I solutions, Comm. Pure and Appl. Math., Vol. LII, 0461-0478 (1999 ). | MR | Zbl
-[9] On optimal truncation of divergent series solutions of nonlinear differential systems; Berry smoothing , Proc. R. Soc. Lond. A, 455, 1931-1956 (1999). | MR | Zbl
, -[10] On the formation of singularities of solutions of nonlinear differential systems in antistokes directions, Invent. Math., 145, 425-485 (2001). | MR | Zbl
, -[11] Nonlinear evolution PDEs in R+ × Cd: existence and uniqueness of solutions, asymptotic and Borel summability , CPAM, Vol. LIII, p. 0001-0026 (2000 ).
, -[12] Complex Singularity Analysis for a nonlinear PDEs, Preprint.
, -[13] Nagoya Math. J., 154, p. 1-29 (1999). | MR | Zbl
, , -[14] Asymptotology.
-[15] Transseries in Difference and differential equations , Thesis (2003).
-[16] A course of modern analysis, Cambridge University Press ( 1962). | MR | Zbl
, -