Analyzability in the context of PDEs and applications

Ovidiu Costin; Saleh Tanveer

Annales de la Faculté des sciences de Toulouse : Mathématiques (2004)

  • Volume: 13, Issue: 4, page 539-549
  • ISSN: 0240-2963

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Costin, Ovidiu, and Tanveer, Saleh. "Analyzability in the context of PDEs and applications." Annales de la Faculté des sciences de Toulouse : Mathématiques 13.4 (2004): 539-549. <http://eudml.org/doc/73636>.

@article{Costin2004,
author = {Costin, Ovidiu, Tanveer, Saleh},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
language = {eng},
number = {4},
pages = {539-549},
publisher = {Université Paul Sabatier, Institut de Mathématiques},
title = {Analyzability in the context of PDEs and applications},
url = {http://eudml.org/doc/73636},
volume = {13},
year = {2004},
}

TY - JOUR
AU - Costin, Ovidiu
AU - Tanveer, Saleh
TI - Analyzability in the context of PDEs and applications
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2004
PB - Université Paul Sabatier, Institut de Mathématiques
VL - 13
IS - 4
SP - 539
EP - 549
LA - eng
UR - http://eudml.org/doc/73636
ER -

References

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  1. [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 Zbl1069.35003MR1761410
  2. [2] Costin ( O. ) , Tanveer ( S.). - Complex Singularity Analysis for a nonlinear PDE (in preparation)4. 
  3. [3] Costin ( O. ) , Tanveer ( S.). — Nonlinear evolution PDEs in R+ × Cd: existence and uniqueness of solutions, asymptotic and Borel summability (submitted).4 
  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 Zbl1041.81013MR1991533
  5. [5] Ecalle ( J. ). — Fonctions Resurgentes, Publications MathematiquesD'Orsay ( 1981). Zbl0499.30034
  6. [6] Kuik ( R.). — Transseries in differential and difference equations , PhD Thesis, University of Groningen, ISBN 90-367-1771-x (2003). 
  7. [7] Balser ( W. ). — Summability of formal power series solutions of ordinary and partial differential equations, Funct. Differ. Equ.8, n° 1-2 (2001). Zbl1050.34126
  8. [8] Braaksma ( B.L.J.). — Transseries for a class of nonlinear difference equations, J. Differential equation (to appear). Zbl1001.39002MR1871576
  9. [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). Zbl0958.35061MR1689170
  10. [10] Ecalle ( J. ). - in Bifurcations and periodic orbits of vector fields NATO ASI Series, Vol. 408 (1993). 
  11. [11] Ecalle ( J. ). — Finitude des cycles limites et accéléro-sommation de l'application de retour, Preprint 90-36 of Universite de Paris-Sud (1990). MR1094378
  12. [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). Zbl0754.34057MR1132079
  13. [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 Zbl0841.34005
  14. [14] Costin ( O. ), Costin ( R.D.). — On the location and type of singularities of nonlinear differential systems, Inventiones Mathematicae145, 3, p. 425-485 (2001).4 Zbl1034.34102
  15. [15] Costin ( O. ). — Duke Math. J., Vol. 93, No 2: 289-344 (1998).4 Zbl0948.34068MR1625999
  16. [16] Tanveer ( S.). — Evolution of Hele-Shaw interface for small surface tension, Phil. Trans. Royal Soc. LondonA. 343, 155 (1993). Zbl0778.76029MR1222808
  17. [17] Wasow ( W.). — Asymptotic expansions for ordinary differential equations, Interscience Publishers ( 1968). Zbl0169.10903

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