Publications

1. Spherical Mean Transform from the PDE Point of View. Preprint: http://arxiv.org/abs/1201.0314

2. Range Description for a Spherical Mean Transform on Spaces of Constant Curvatures. Submitted. Preprint: http://arxiv.org/abs/1107.1746

3. On Singularities and Instability of Reconstruction in Thermoacoustic Tomography. To appear in Contemporary Mathematics. Preprint: http://arxiv.org/abs/0911.5521

4. (with Mark Agranovsky) Range Conditions for a Spherical Mean Transform and Global Extendibility of Solutions of the Darboux Equation. Journal d'Analyse Mathématique, Volume 112, Number 1, 351-367, DOI: 10.1007/s11854-010-0033-0.

5. A Family of Inversion Formulas in Thermoacoustic Tomography. Inverse Probl. Imaging 3 (2009), no. 4, 649--675. 5).

6. (with Hristova, Yulia and Kuchment, Peter) Reconstruction and Time Reversal in Thermoacoustic Tomography in Acoustically Homogeneous and Inhomogeneous Media. Inverse Problems 24 (2008), no. 5, 055006, 25 pp.

7. (with Le, Dung and Nguyen, Toan Trong) Regularity and Coexistence Problems for Strongly Coupled Elliptic Systems. Indiana Univ. Math. J. 56 (2007), no. 4, 1749--1791.

8. (with Le, Dung and Nguyen, Toan Trong) Shigesada-Kawasaki-Teramoto Model on Higher Dimensional Domains. Electron. J. Differential Equations 2003, No. 72, 12 pp. (electronic).