Conductivity Imaging

• Uniqueness of weighted least gradient problems arising in conductivity imaging (with A.Moradifam and A. Nachman) submitted.
• Stability in Conductivity imaging from partial measurements of one interior current, Inverse Problems and Imaging, to appear
• A weighted minimum gradient problem with complete electrode model boundary conditions for conductivity imaging, (with A. Nachman and J. Veras) submitted
• A Calderon problem with frewuency differential data in dispersive media (with S. Kim) in Proc. Amer. Math. Soc., to appear
• Stable reconstruction of regular 1-harmonic maps with a given trace at the boundary (with A. Timonov and J. Veras) in
  Appl. Anal. 94 (2015), no. 6, 1098–1115
• Coupled physics electrical conductivity imaging (with A.Timonov) in Eurasian J. Math. Comp. Appl. 2(2014), no. 3-4, 5–29
• Reconstructing small perturnations in electrical admittivity at low frequencies (with S. Kim) in Inverse Problems 30(2014), no. 3, 035006, 18pp
• Not all traces on the circle come from functions of least gradient in the disk (with G. Spradlin) in Indiana Univ. Math. J. 63(2014), no. 6, 1819–1837
• On a Calderon problem in frequency differential electrical impedance tomography (with S. Kim) in SIAM J. Math Anal 45 (2013), no. 5, pp. 2700–2709
• Conductivity Imaging from One Interior Measurement in the Presence of Perfectly Conducting and Insulating Inclusions* (with A. Moradifam and A. Nachman) in SIAM J. Math. Anal. 44 (2012), no. 6, 3969–3990
• Conductivity Imaging by the method of characteristics in the 1-Laplacian* (with J. Veras) in Inverse Problems 28(2012) 084006
• Structural stability in a minimization problem and applications to conductivity imaging* (with Z. Nashed) in Inverse Probl. Imaging 5(2011), 219 –236
• Current density impedance imaging* (with A. Nachman and A. Timonov) in Tomography in Inverse Transport Theory (G. Bal et al ed.), Contemp. Math. 559, AMS, 2011
• Reconstruction of Planar Conductivities in Subdomains from Incomplete Data* (with A. Nachman and A. Timonov) in SIAM J. Appl. Math. 70 (2010), 3342–3362
• Recovering the conductivity from a single measurement of interior data* (with A. Nachman and A. Timonov ) in Inverse Problems 25(2009), No 3, 035014
• On a new approach to frequency sounding of layered media* (with A. Timonov) in Numerical Funct. Anal. Optim. 29 (2008), no. 3, 470–486
• Conductivity imaging with a single measurement of boundary and interior data* (with A. Nachman and A. Timonov) in Inverse Problems 23 (2007), 2551 — 2563
• Reconstruction of less regular conductivities in the plane* (with K. Knudsen) in Comm. Partial Differential Equations 29 (2005), no. 3-4, 361–381
• On the scattering method for the $\overline\partial$-equation and reconstruction of
  convection coefficient in Inverse Problems 20 (2004), no. 6, 1807–1817

Radiative transfer

• On the X-ray transform of symmetric two tensors (with K. Sadiq and O. Scherzer) submitted
• On the range of the two dimensional Doppler transform (with K. Sadiq) in SIAM J. Math. Anal., to appear
• On the range of attenuated Radon transform on strictly convex sets (with K. Sadiq) in Trans. Amer. Math. Soc., electronically published, November 4,2014, DOI:http://dx.doi.org/10.1090/S0002-9947-2014-06307-1 (to appear in print)
• Stability of the gauge equivalent classes in inverse stationary transport in refractive media (with S. McDowall and P. Stefanov) in Tomography in Inverse Transport Theory (G. Bal et al ed.), Contemp. Math. 559, AMS, 2011
• Gauge equivalence in stationary radiative transport through media with varying index of refraction* (with S. McDowall and P. Stefanov) in Inverse Probl. Imaging 4(2010), 151-167
• Stability of the gauge equivalent classes in stationary transport* (with S. McDowall S and P. Stefanov) in Inverse Problems 26 (2010) 025006
• Uniqueness and non-uniqueness in inverse radiative transport* (with P. Stefanov) in Proc. Amer. Math. Soc. 137 (2009), 2335-2344
• Tomographic reconstruction of vector fields in variable background media* in Inverse Problems 23 (2007), no. 5, 2197–2205
• Inverse source problems in transport equations* (with G. Bal) in SIAM J. Math. Anal. 39 (2007), no. 1, 57–76
• Optical tomography in weakly anisotropic scattering media* in Inverse problems: theory and applications (G. Alessandrini and G. Uhlmann Eds.), Contemp. Math. 333, AMS, 2003
• An inverse boundary value problem in two-dimensional transport* in Inverse Problems 18 (2002), no. 1, 209–219

Delayed differential equations

• Differentiability with respect to lag for a nonlinear pantograph equation* in Pure Math. Appl. 9(1998), 215–229.
• Extremal solutions for the discontinuous delay-equations* in Studia Univ. Babes-Bolyai Math. 41 (1996), 107–112.

* This is the preprint.