logo AFST
Analyzability in the context of PDEs and applications
Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 13 (2004) no. 4, pp. 539-549.
@article{AFST_2004_6_13_4_539_0,
     author = {Ovidiu Costin and Saleh Tanveer},
     title = {Analyzability in the context of {PDEs} and applications},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {539--549},
     publisher = {Universit\'e Paul Sabatier, Institut de Math\'ematiques},
     address = {Toulouse},
     volume = {Ser. 6, 13},
     number = {4},
     year = {2004},
     zbl = {02190855},
     mrnumber = {2116816},
     language = {en},
     url = {https://afst.centre-mersenne.org/item/AFST_2004_6_13_4_539_0/}
}
TY  - JOUR
AU  - Ovidiu Costin
AU  - Saleh Tanveer
TI  - Analyzability in the context of PDEs and applications
JO  - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY  - 2004
SP  - 539
EP  - 549
VL  - 13
IS  - 4
PB  - Université Paul Sabatier, Institut de Mathématiques
PP  - Toulouse
UR  - https://afst.centre-mersenne.org/item/AFST_2004_6_13_4_539_0/
LA  - en
ID  - AFST_2004_6_13_4_539_0
ER  - 
%0 Journal Article
%A Ovidiu Costin
%A Saleh Tanveer
%T Analyzability in the context of PDEs and applications
%J Annales de la Faculté des sciences de Toulouse : Mathématiques
%D 2004
%P 539-549
%V 13
%N 4
%I Université Paul Sabatier, Institut de Mathématiques
%C Toulouse
%U https://afst.centre-mersenne.org/item/AFST_2004_6_13_4_539_0/
%G en
%F AFST_2004_6_13_4_539_0
Ovidiu Costin; Saleh Tanveer. Analyzability in the context of PDEs and applications. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 13 (2004) no. 4, pp. 539-549. https://afst.centre-mersenne.org/item/AFST_2004_6_13_4_539_0/

[1] Costin (O. ) , Tanveer ( S.). - Existence and uniqueness for a class of nonlinear higher-order partial differential equations in the complex plane , Comm. Pure Appl. Math, Vol. LIII, p. 1092-1117 (2000).4 | MR | Zbl

[2] Costin (O. ) , Tanveer ( S.). - Complex Singularity Analysis for a nonlinear PDE (in preparation)4.

[3] Costin (O. ) , Tanveer ( S.). - Nonlinear evolution PDEs in R+ × Cd: existence and uniqueness of solutions, asymptotic and Borel summability (submitted).4

[4] Costin (O. ), Costin (R.D.) and Lebowitz (J.-L.). - Transition to the continuum of a particle in time-periodic potentials (in Advances in Differential Equations and Mathematical Physics, AMS Contemporary Mathematics series ed. Karpeshina, Stolz, Weikard, and Zeng 2003).4 | MR | Zbl

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

[6] Kuik (R.). - Transseries in differential and difference equations , PhD Thesis, University of Groningen, ISBN 90-367-1771-x (2003).

[7] Balser (W. ). - Summability of formal power series solutions of ordinary and partial differential equations, Funct. Differ. Equ. 8, n° 1-2 (2001). | Zbl

[8] Braaksma ( B.L.J.). - Transseries for a class of nonlinear difference equations, J. Differential equation (to appear). | MR | Zbl

[9] Lutz (D.A. ), Miyake (M.) and Schafke (R.). - On the Borel summability of divergent solutions of the heat equation, Nagoya Math. J. 154, 1 (1999). | MR | Zbl

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

[11] Ecalle (J. ). - Finitude des cycles limites et accéléro-sommation de l'application de retour, Preprint 90-36 of Universite de Paris-Sud (1990). | MR

[12] Balser (W. ), Braaksma (B.L.J.), Ramis (J.-P.), Sibuya (Y.). - Multisummability of formal power series solutions of linear ordinary differential equations , Asymptotic Anal., 5, 27-45 (1991). | MR | Zbl

[13] Costin (O. ). - Exponential asymptotics, transseries, and generalized Borel summation for analytic, nonlinear, rank-one systems of ordinary differential equations, Internat. Math. Res. Notices n° 8, p. 377-417 (1995).4 | Zbl

[14] Costin (O. ), Costin (R.D.). - On the location and type of singularities of nonlinear differential systems, Inventiones Mathematicae 145, 3, p. 425-485 (2001).4 | Zbl

[15] Costin (O. ). - Duke Math. J., Vol. 93, No 2: 289-344 (1998).4 | MR | Zbl

[16] Tanveer ( S.). - Evolution of Hele-Shaw interface for small surface tension, Phil. Trans. Royal Soc. London A. 343, 155 (1993). | MR | Zbl

[17] Wasow (W.). - Asymptotic expansions for ordinary differential equations, Interscience Publishers ( 1968). | Zbl