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Ovidiu Costin; Saleh Tanveer
Analyzability in the context of PDEs and applications
Annales de la faculté des sciences de Toulouse Sér. 6, 13 no. 4 (2004), p. 539-549, doi: 10.5802/afst.1081
Article PDF | Reviews MR 2116816 | Zbl 02190855
[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 1761410 |  Zbl 01592000
[2] Costin (O. ) , Tanveer ( S.). - Complex Singularity Analysis for a nonlinear PDE (in preparation)4. arXiv
[3] Costin (O. ) , Tanveer ( S.). — Nonlinear evolution PDEs in R+ × Cd: existence and uniqueness of solutions, asymptotic and Borel summability (submitted).4 arXiv
[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 1991533 |  Zbl 1041.81013
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[8] Braaksma ( B.L.J.). — Transseries for a class of nonlinear difference equations, J. Differential equation (to appear).  MR 1871576 |  Zbl 1001.39002
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[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 1132079 |  Zbl 0754.34057
[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 0841.34005
[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 1034.34102
[15] Costin (O. ). — Duke Math. J., Vol. 93, No 2: 289-344 (1998).4 Article |  MR 1625999 |  Zbl 0948.34068
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