Recent papers
- O.
Costin, M Huang and W Schlag, On the spectral
properties of L± in three dimensions, Nonlinearity
25, pp. 125-164 (2012) .arXiv
- O. Costin,
H. Parkh and Y. Takei, Borel summability of the heat equation
with variable coefficients, J. Diff. Eq. Volume 252, 4,
pp. 3076-3092 (2012).
- O. Costin,
M. Huang and F. Fauvet, Global behavior of solutions of
nonlinear ODEs: first order equations. Int Math Res
Notices first published online October 31, 2011
doi:10.1093/imrn/rnr203
-
Semiclassical low energy scattering for one-dimensional
Schrödinger operators with exponentially decaying potentials
(with R Donninger, W Schlag and S Tanveer) to appear in Ann.
Inst. Henri Poincaré .arXiv
- Global
behavior of solutions of nonlinear ODEs: first order equations
(with M. Huang and F. Fauvet), to appear in IMRN .arXiv
- Gamow
vectors and Borel summability in a class of quantum systems
(with M Huang) J. Stat. Phys, Vol. 144, Number 4, pp. 846-871
(2011)
Springer link, free access
- Geometric
construction and analytic representation of Julia sets of
polynomial maps (with M. Huang) Nonlinearity 24 (2011), no. 4,
1311--1327 .arXiv
- Integral
equation representation and longer time existence solutions of
3-d Navier-Stokes (With G. Luo and S. Tanveer) Comm. Contemp.
Math, 13 (3), pp 407-462 (2011) ArXiv
- Boundary
blow-up solutions in the unit ball : asymptotics, uniqueness
and symmetry (with L. Dupaigne) J. Differential
Equations 249 (2010), no. 4, 931--964. arXiv
- Ionization of
Coulomb systems in ℝ3 by time periodic forcing
of arbitrary size (with J. L. Lebowitz and S.
Tanveer, Comm. Math. Phys. 296 (2010), no. 3,
681--738 Arxiv)
- Exact results for ionization of model
atomic systems (with J.L. Lebowitz, C. Stucchio
and S. Tanveer, J. Math. Phys., 51, 1 (2010). pdf
-
Resurgence of the fractional polylogarithms (with S.
Garoufalidis) , Math. Res. Lett. 16 (2009), no. 5,
817--82. arXiv
- Short time existence
and Borel summability in the Navier-Stokes equation in ℝ3
(with S. Tanveer). Comm. Partial Differential Equations 34
(2009), no. 7-9, 785--817 pdf
- Semiclassical
analysis
of low and zero energy scattering for one dimensional
Schrodinger operators with inverse square potentials
(with W. Schlag, W. Staubach, & S. Tanveer, J.
Functional Analysis, special issue dedicated to Paul
Malliavin, 255, (2008). arXiv
- Behavior of
lacunary series at the natural boundary (with M. Huang,
Advances in Mathematics 222 (2009) 1370–1404) Elsevier
link pdf
- Ionization
in damped harmonic fields (with M. Huang and Z. Qiu, J. Phys
A: Math. Theor, 42 (2009)) ArXiV link J.
Phys
A link
- An Integral equation Approach to Smooth 3-D Navier-Stokes
Solution (with G. Luo and S. Tanveer, Physica Scripta T 132,
2008).
- Resurgence of
the Euler-Maclaurin summation formula (with S.
Garoufalidis, Annales
de l' Institut Fourier 58 893-914 (2008) pdf
- Nonlinear Stokes phenomena in first or
second order differential equations (Algebraic
Analysis of Differential Equations, T. Aoki, H.
Majima, Y. Takei & N. Tose (Eds.), Springer
(2008)) pdf
- Ionization
in a 1-dimensional dipole model (with J. L. Lebowitz and
C. Stucchio), Reviews in Mathematical Physics, 20
No: 7 , pp. 835-872 (2008). pdf
- Sharp
Hardy-Leray inequality for axisymmetric divergence-free
fields (with V. Maz'ya,) Calc. Var. Partial
Differential Equations 32 (2008), no. 4,) pdf
- Divergent
expansions, Borel summability and the 3-D
Navier-Stokes Equation (With G. Luo and S. Tanveer, Phil.
Trans. R. Soc. A 366, pp 2775-2788 (2008)pdf.
- Resurgence
of the Kontsevitch-Zagier power series (with S.
Garoufalidis, to appear in Annales de l'Institut Fourier) pdf
- Global
reconstruction
of analytic functions from local expansions and a new
generalmethod of converting sums into integrals
(submitted) pdf
- On the
proof of universality for orthogonal and symplectic
ensembles in random matrix theory (with P. Deift
and D. Gioev J. Stat. Phys. 129 (2007), no. 5-6,
937--948) pdf
Part of
the recent research was supported by the NSF awards
DMS-0103807, DMS-0100495, DMS-0406193 and DMS-0600369 and a
Guggenheim fellowship.
Contact Information
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Office: Math Tower 404
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Telephone
(614) 292-7844
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Snail
Mail:
Mathematics
Department
The Ohio State University
231 W. 18th Avenue
Columbus,
Ohio 43210, USA
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