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. 
@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://archive.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://archive.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://archive.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://archive.numdam.org/item/AFST_2004_6_13_4_551_0/

[1] Balser (W. ). - 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] Braaksma ( B.L.J.). - Transseries for a class of nonlinear difference equations, J. Differ. Equations Appl. 7, no. 5, 717-750 (2001). | MR | Zbl

[3] Ecalle (J. ). - Fonctions Resurgentes, Publications Mathematiques d'Orsay ( 1981).

[4] Ecalle (J. ). - In Bifurcations and periodic orbits of vector fields, NATO ASI Series, Vol. 408 (1993).

[5] Ecalle (J. ). - Finitude des cycles limites., Preprint 90-36 of Universite de Paris-Sud (1990 ). | MR

[6] Costin (O. ). - 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] Costin (O. ). - On Borel summation and Stokes phenomena of nonlinear differential systems, Duke Math. J., 93, n° 2, 289-344 (1998). | Zbl

[8] Costin (O. ). - Correlation between pole location and asymptotic behavior for Painlevé I solutions, Comm. Pure and Appl. Math., Vol. LII, 0461-0478 (1999 ). | MR | Zbl

[9] Costin (O. ), Kruskal (M.D.). - 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] Costin (O. ), Costin (R.D.). - On the formation of singularities of solutions of nonlinear differential systems in antistokes directions, Invent. Math., 145, 425-485 (2001). | MR | Zbl

[11] Costin (O. ), Tanveer (S.). - Nonlinear evolution PDEs in R+ × Cd: existence and uniqueness of solutions, asymptotic and Borel summability , CPAM, Vol. LIII, p. 0001-0026 (2000 ).

[12] Costin (O. ) , Tanveer ( S.). - Complex Singularity Analysis for a nonlinear PDEs, Preprint.

[13] Lutz (D.L. ), Miyake (M.), Schäfke (R.). - Nagoya Math. J., 154, p. 1-29 (1999). | MR | Zbl

[14] Kruskal ( M.D.). - Asymptotology.

[15] Kuik (R.). - Transseries in Difference and differential equations , Thesis (2003).

[16] Whittaker ( E.T. ), Watson (G.N.). - A course of modern analysis, Cambridge University Press ( 1962). | MR | Zbl