Publications and preprints:
- I. Bejenaru, A. D. Ionescu, C. E. Kenig, and D. Tataru, Global
Schr\"{o}dinger maps in dimensions $d\geq 2$: small data in the
critical Sobolev spaces, Preprint 2008. pdf-file
- A. D. Ionescu and G. Staffilani, Semilinear Schr\"{o}dinger flows
on hyperbolic spaces: scattering in $H^1$, Preprint
2008. pdf-file
- A. D. Ionescu and S. Klainerman, Uniqueness results for ill posed
characteristic problems in curved space-times, Preprint 2007. pdf-file
- A. D. Ionescu and S. Klainerman, On the uniqueness of smooth,
stationary black holes in vacuum, Preprint 2007. pdf-file
- A. D. Ionescu, C. E. Kenig, and D. Tataru, Global well-posedness
of the KP-I initial-value problem in the energy space, Inventiones
Mathematicae 173, 265-304
(2008).
- J. Colliander, A. D. Ionescu, C. E. Kenig, and G. Staffilani,
Weighted low-regularity solutions of the KP-I initial-value problem,
Discrete and Continuous Dynamical Systems - Series A 20, 219-258 (2008).
- I. Bejenaru, A. D. Ionescu, and C. E. Kenig, Global existence and
uniqueness of Schr\"{o}dinger maps in dimensions $d\geq 4$, Advances in
Mathematics 215, 263-291
(2007).
- A. D. Ionescu and C. E. Kenig, Low-regularity
Schr\"{o}dinger maps, II: global well-posedness in dimensions $d\geq
3$, Communications in Mathematical Physics 271, 523-559 (2007).
- A. D. Ionescu and C. E. Kenig, Complex-valued
solutions of the Benjamin-Ono equation, Contemporary Mathematics 428, 61-74 (2007).
- A. D. Ionescu, A. Magyar, E. M. Stein, and S.
Wainger, Discrete Radon transforms and applications to ergodic theory,
Acta Mathematica 198,
231-298, (2007).
- A. D. Ionescu and C. E. Kenig, Global well-posedness
of the Benjamin-Ono equation in low regularity spaces, Journal of the
American Mathematical Society 20,
753-798 (2007).
- A. D. Ionescu and C. E. Kenig, Local and global
well-posedness of periodic KP-I equations, in Mathematical Aspects of
Nonlinear Dispersive Equations, Princeton University Press (2007),
181--212.
- B. Ammann, A. D. Ionescu and V. Nistor, Sobolev
spaces and regularity for polyhedral domains, Documenta Mathematica 11,
161-206 (2006).
- A. D. Ionescu and C. E. Kenig, Low-regularity
Schr\"{o}dinger maps, Differential and Integral Equations 19, 1271-1300 (2006).
- A. D. Ionescu and C. E. Kenig, Uniqueness properties
of solutions of Schr\"odinger equations, Journal of
Functional Analysis 232,
90-136 (2006)
- A. D. Ionescu and W. Schlag, Agmon-Kato-Kuroda
theorems for a large class of perturbations, Duke
Mathematical Journal 131,
397-440 (2006).
- A. D. Ionescu and S. Wainger, L^p boundedness of
discrete singular Radon transforms, Journal of the
American Mathematical Society 19,
357-383 (2006).
- A. D. Ionescu, Rearrangement inequalities on semisimple
Lie groups, Mathematische Annalen 322,
739-758 (2005).
- A. D. Ionescu and C. E. Kenig, Well-posedness and
local smoothing of solutions of Schr\"odinger equations, Mathematical
Research Letters 12, 193-205
(2005).
- A. D. Ionescu and C. E. Kenig, $L^p$ Carleman
inequalities and uniqueness of solutions of nonlinear Schr\"odinger
equations, Acta Mathematica 193,
193--239 (2004).
- A. D. Ionescu, An endpoint estimate for the discrete
spherical maximal function, Proceedings of the American Mathematical
Society 132, 1411-1417 (2004).
- A. D. Ionescu and D. Jerison, On the absence of
positive eigenvalues of Schrodinger operators with rough potentials,
Geometric and Functional Analysis 13, 1029-1081 (2003).
- A. D. Ionescu, Singular integrals on symmetric spaces,
II, Transactions of the American Mathematical Society 355,
3359-3378
(2003).
- A. D. Ionescu, Singular integrals on symmetric spaces of
real rank one, Duke Mathematical Journal 114, 101-122 (2002).
- A. D. Ionescu, On the Poisson transform on symmetric
spaces of real rank one, Journal of Functional Analysis 174,
513--523 (2000).
- A. D. Ionescu, A maximal operator and a covering lemma
on non-compact symmetric spaces, Mathematical Research Letters 7,
83--93 (2000).
- A. D. Ionescu, An endpoint estimate for the Kunze-Stein
phenomenon and related maximal operators, Annals of Mathematics 152,
259--275 (2000).
- A. D. Ionescu, Fourier integral operators on noncompact
symmetric spaces of real rank one, Journal of Functional Analysis 174,
274--300 (2000).
- A. D. Ionescu, Real-variable theory and Fourier integral
operators
on semisimple Lie groups and symmetric spaces of real rank one, Ph. D.
Thesis,
Princeton University (1999). ps-file
This research was supported in part by NSF grants, an Alfred P. Sloan
research fellowship, and a David and Lucile Packard Fellowship.