Partial Differential Equations; PhD, Institute of Mathematics, USSR, 1973
WSU Excellence in Research Award ( 2001)
J. Powell, "Some Inverse Boundary Value Problems", PhD thesis,1992
A. Elayyan, "Some Inverse Problems in Parabolic Partial Differential Equations", PhD thesis, 1996
A. Sever, "On the Inverse Conductivity Problems", PhD thesis, 1996
M. Eller, "Uniqueness of Continuation Theorems", PhD thesis,1997
I. Bouchouev, "Inverse Parabolic Problems with Applications to Option Pricing", PhD thesis, 1997
N. Valdivia, "Inverse Problems in Scattering Theory and Acoustics", 2002.
J. Myers, "Inverse Doping Profile Analysis for Semiconductor Quality Control", PhD thesis, 2009
N. Kim, "Carleman jEstimates for the general Second Qrder Qperators and Applications to Inverse Problems", PhD thesis, 2010
D. Aralumallige Subbarayappa, "Stability of Continuation and Obstacle Problems in Acoustics and Electromagnetic Scattering", PhD thesis, 2010
D. Stewart (current)
My main research area is Inverse problems for Partial Differential Equations. One looks for a coefficient or a source term from additional boundary data. Lately I am working on inverse problems in elasticity (identification of elastic parameters), in inverse scattering (looking for an obstacle and boundary conditions from scattering data), in option pricing (finding volatility of markets from current trading data), and in semiconductor theory (looking for doping profile). A special topic of more general nature is Carleman estimates for equations and systems.