*Existence and regularity of solutions of inhomogeneous porous medium type equations*Technical Summary Report #2214, Mathematics Research Center, Madison, Wisconsin, 1981*Continuity of solutions of a singular parabolic equation*, Nonlinear Analysis T. M. A.,**7**, 1983, 387-409*The initial and boundary value problem for a class of degenerate parabolic equations*, Comm. P.D.E.**8**,1983, 693-733- (with H. A. Levine)
*Some existence and nonexistence theorems for solutions of degenerate parabolic equations*, J. Diff. Equ.**52**, 1984, 135-161 - (with W. M. Ni and J. Tavantzis)
*On the asymptotic behavior of solutions of certain quasi-linear parabolic equations*, J. Diff. Equ.**54**, 1984, 97-120 *Global behavior for a class of nonlinear evolution equations*, SIAM J. Math. Anal.**16**, 1985, 233-250- (with W. M. Ni)
*The number of peaks of positive solutions of semilinear parabolic equations*, SIAM J. Math. Anal.**16**, 1985, 460-471 - (with W. M. Ni)
*Singular behavior in nonlinear parabolic equations*, Trans. A.M.S.**287**, 1985, 657-671 - (with W. W. Symes)
*Uniqueness and continuous dependence in a multidimensional hyperbolic inverse problem*, Comm. P.D.E.**10**, 1985, 635-676 - (with W. Symes)
*Uniqueness and continuous dependence for a multidimensional hyperbolic inverse problem linearized at a stratified reference*in__Mathematical and Computational Methods in Seismic Exploration and Reservoir Modeling__, W. Fitzgibbon ed., 272-277, SIAM, 1986 - (with W. Symes)
*On uniqueness in the P-SV problem*in__Mathematical and Computational Methods in Seismic Exploration and Reservoir Modeling__, W. Fitzgibbon ed., 264-267, SIAM, 1986 *Behavior near t = 0 for some nonlinear diffusion equations*, in__Semigroups, Theory and Applications Vol I__, H. Brezis, M. Crandall and F. Kappell ed., 205-213, Pitman, 1986*Computation of the principal part of the linearized map from coefficients to surface value in the P-SV problem*, ONR/SRO Report #36, Cornell University, 1986- (with F. Santosa)
*A simple computational scheme for determining the sound speed of an acoustic medium from its surface impulse response*, SIAM J. Sci. Stat. Comp.**8**, 1987, 501-520 - (with W. Symes)
*Recovery of the elastic parameters of a layered half space*, Geophys. J. Roy. Astr. Soc.**88**, 1987, 593-620 *Some linearized inverse problems for acoustic media*Proc. IEEE Conf. on Decision and Control, 1987, 175-177*An iterative method for the inverse Dirichlet problem*, Inverse Problems**4**, 1988, 1055-1069- (with P. Benilan and M. Crandall)
*Some L1 existence and dependence results for semilinear elliptic equations under nonlinear boundary conditions*, Appl. Math. Opt.**17**, 1988, 203-224 - (with T. F. Chen and H. A. Levine)
*Analysis of a convective reaction-diffusion equation*, Nonlinear Analysis T.M.A.**12**, 1988, 1349-1370 - (with K. Bube, P. Lailly, F. Santosa and W. Symes)
*Simultaneous determination of a source wavelet and velocity profile using impulsive point-source reflections from a layered fluid*, Geophys. J.**95**, 1988, 449-462 *The inverse problem for a weakly inhomogeneous two dimensional acoustic medium*, SIAM J. Appl. Math.**48**, 1988, 1167-1193*Universal decay in nonlinear parabolic equations*, Nonlinear Analysis T.M.A.**12**, 1988, 1123-1136*Qualitative behavior for a class of reaction-diffusion-convection equations*, in__Nonlinear Diffusion Equations and their Steady States II__, W. Ni, L. Peletier and J. Serrin, eds., Springer Verlag, 1988, 245-254- (with H. A. Levine, L. E. Payne, and B. Straughan)
*Analysis of a convective reaction-diffusion equation (II)*, SIAM J. Math. Anal.**20**, 1989, 133-147 - (with W. W. Symes)
*Velocity inversion using common offset data*, Inverse Problems**5**, 1989, 407-423 *A singular limit problem for the porous medium equation*, J. Math. Anal. Appl.**140**, 1989, 456-466*Mapping properties and regularization of operators arising in a seismic inverse problem*, 1989, unpublished manuscript*A velocity inversion problem involving an unknown source*, SIAM J. Appl. Math.**50**, 1990, 931-941- (with W. Symes)
*The inverse problem for a fluid over a layered elastic half space*, Inverse Problems**6**, 1990, 1031-1054 *Limiting behavior of solutions of $u_t = \Delta u^m$ as $m \to\infty$*, Rocky Mountain J. Math.**21**, 1991, 779-786*Behavior near t=0 for solutions of the Dirichlet problem for $u_t =\Delta\phi(u) - f(u)$ in bounded domains*, Comm. P.D.E.**16**, 1991, 771-787- (with W. Rundell)
*Reconstruction techniques for classical inverse Sturm-Liouville problems*, Math. Comp.**58**, 1992, 161-184 - (with W. Rundell)
*Reconstruction of Sturm-Liouville operators*, Inverse Problems**8**, 1992, 457-482 - (with M. Klibanov)
*Phaseless inverse scattering and the phase problem in optics*, J. Math. Phys.**33**, 1992, 3813-3821 *Reconstruction of step-like potentials*, Wave Motion**18**, 1993, 21-30- (with W. Rundell)
*On the numerical determination of potentials*, in__Inverse Problems in Scattering and Imaging__, M. Fiddy ed., SPIE Proceedings**1767**, 1993, 31-42, - (with J. R. McLaughlin and P. Polyakov)
*Reconstruction of a spherically symmetric index of refraction*, SIAM J. Appl. Math.,**54**, 1994, 1203-1223 - (with M. Klibanov)
*Use of partial knowledge of the potential in the phase problem of inverse scattering*, J. Comp. Phys**112**, 1994, 273-281 - (with M. Fila)
*The transition from decay to blow-up in some reaction-diffusion-convection equations*, in__Proceedings of the First World Congress of Nonlinear Analysts Vol I__, V. Lakshmikantham, ed., DeGruyter, 1996, 455-463 - (with W. Rundell)
*On the determination of potentials without bound state data*, J. Comp. Appl. Math.,**55**, 1994, 325-347 - (with M. Klibanov and A. Tikhonravov)
*The phase retrieval problem*, Inverse Problems,**11**, 1995, 1-28 - (with M. Klibanov and A. Tikhonravov)
*The phase problem in inverse scattering*, in__Differential Equations and Mathematical Physics: Proceedings of the International Conference__, International Press, 1995, 179-189 - (with Rakesh)
*Impedance inversion from transmission data for the wave equation*, Wave Motion,**24**1996, 263-274 - (with J. R. McLaughlin and M. Somasundaram)
*Inverse scattering in acoustic media using interior transmission eigenvalues*, in__Inverse Problems in Wave Propagation__, G. Chavent, G. Papanicolaou, P. Sacks and W. Symes, eds., Springer-Verlag, 1997, 357-374 - (with V. O. deHaan, A. A. van Well, S. Adenwalla and G. P.
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*Toward the solution of the inverse problem in neutron reflectometry*, Physica B,**221**, 1996, 524-532 *Recovery of singularities from amplitude information*, J. Math. Phys.,**38**, 1997, 3497-3507- (with G. Chavent, G. Papanicolaou and W. Symes)
__Inverse Problems in Wave Propagation__, IMA Volume 90, Springer-Verlag 1997 - (with T. Aktosun)
*Inverse problems on the line without phase information*, Inverse Problems,**14**, 1998, 211-224 - (with V. Yakhno)
*The inverse problem for a layered anisotropic half space*, J. Math. Anal. Appl.**228**, 1998, 377-398 - (with M. Yan, S. Udpa, S. Mandayam, Y. Sun and W. Lord)
*Solution of inverse problems in electromagnetic NDE using finite element methods*, IEEE Trans. Mag.**34**, 1998, 2924-2927 - (with M. Yan, M. Afzal, S. Udpa, S. Mandayam, Y. Sun and L.
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*Iterative algorithms for electromagnetic NDE signal inversion*, Nondestructive Evaluation (II) - Studies in Applied Electromagnetics and Mechanics, Albanese et al eds.**114**, 1998, 287-296 - (with T. Aktosun)
*Inversion of reflectivity data for nondecaying potentials,*SIAM J Appl Math.**60**, 2000, 1340-1356 - (with T. Aktosun)
*Phase recovery with nondecaying potentials,*Inverse Problems**16**, 2000, 821-838 - (with W. Rundell)
*Reconstruction of a radially symmetric potential from two spectral sequences*, J. Math. Anal. Appl.**264**2001, 354-381 - (with T. Aktosun)
*Potential splitting and numerical solution of the inverse scattering problem on the line*, Math. Meth. Appl. Sci**25**2002, 347-355 - (with W. Rundell)
*Numerical technique for the inverse resonance problem*J. Comp. Appl. Math. 170, 2004, 337-347 *An inverse problem in coupled mode theory*, J. Math. Phys., 45, 2004, 1699-1710- (with J. Shin) Computational methods for some inverse scattering problems, Appl. Math. Comp. 207, 2009, 111-123
- (with Rakesh) Stability for an inverse problem for a two speed hyperbolic PDE in one space dimension, Inverse Problems, 26, 2010, 025005
- (with R. Hryniv) Numerical solution of the inverse spectral problem for Bessel operators. J. Comp. Appl. Math., 235, 2010, 120-136
- (with Rakesh) Uniqueness for a hyperbolic inverse problem with angular control on the coefficients, J. Inv. Ill-Posed Problems, 19, 2011, 107-126
- (with W. Rundell) An inverse problem for a vibrating string with two Dirichlet spectra, SIAM J. Appl. Math, 73, 2013, 1020-1037
- (with M. Warma) Semilinear elliptic and elliptic-parabolic problems with Wentzell boundary conditions and L^1 data, Discrete and Continuous Dynamical Systems - Series A, to appear