PUBLICATION LIST

  1. Existence and regularity of solutions of inhomogeneous porous medium type equations Technical Summary Report #2214, Mathematics Research Center, Madison, Wisconsin, 1981
  2. Continuity of solutions of a singular parabolic equation , Nonlinear Analysis T. M. A., 7, 1983, 387-409
  3. The initial and boundary value problem for a class of degenerate parabolic equations , Comm. P.D.E. 8,1983, 693-733
  4. (with H. A. Levine) Some existence and nonexistence theorems for solutions of degenerate parabolic equations , J. Diff. Equ. 52 , 1984, 135-161
  5. (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
  6. Global behavior for a class of nonlinear evolution equations , SIAM J. Math. Anal. 16, 1985, 233-250
  7. (with W. M. Ni) The number of peaks of positive solutions of semilinear parabolic equations, SIAM J. Math. Anal. 16 , 1985, 460-471
  8. (with W. M. Ni) Singular behavior in nonlinear parabolic equations , Trans. A.M.S. 287 , 1985, 657-671
  9. (with W. W. Symes) Uniqueness and continuous dependence in a multidimensional hyperbolic inverse problem, Comm. P.D.E. 10 , 1985, 635-676
  10. (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
  11. (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
  12. 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
  13. 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
  14. (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
  15. (with W. Symes) Recovery of the elastic parameters of a layered half space, Geophys. J. Roy. Astr. Soc. 88, 1987, 593-620
  16. Some linearized inverse problems for acoustic media Proc. IEEE Conf. on Decision and Control, 1987, 175-177
  17. An iterative method for the inverse Dirichlet problem , Inverse Problems 4, 1988, 1055-1069
  18. (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
  19. (with T. F. Chen and H. A. Levine) Analysis of a convective reaction-diffusion equation, Nonlinear Analysis T.M.A. 12, 1988, 1349-1370
  20. (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
  21. The inverse problem for a weakly inhomogeneous two dimensional acoustic medium, SIAM J. Appl. Math. 48, 1988, 1167-1193
  22. Universal decay in nonlinear parabolic equations , Nonlinear Analysis T.M.A. 12, 1988, 1123-1136
  23. 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
  24. (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
  25. (with W. W. Symes) Velocity inversion using common offset data, Inverse Problems 5, 1989, 407-423
  26. A singular limit problem for the porous medium equation , J. Math. Anal. Appl. 140, 1989, 456-466
  27. Mapping properties and regularization of operators arising in a seismic inverse problem, 1989, unpublished manuscript
  28. A velocity inversion problem involving an unknown source, SIAM J. Appl. Math. 50, 1990, 931-941
  29. (with W. Symes) The inverse problem for a fluid over a layered elastic half space, Inverse Problems 6, 1990, 1031-1054
  30. Limiting behavior of solutions of $u_t = \Delta u^m$ as $m \to\infty$ , Rocky Mountain J. Math. 21, 1991, 779-786
  31. 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
  32. (with W. Rundell) Reconstruction techniques for classical inverse Sturm-Liouville problems, Math. Comp. 58, 1992, 161-184
  33. (with W. Rundell) Reconstruction of Sturm-Liouville operators , Inverse Problems 8, 1992, 457-482
  34. (with M. Klibanov) Phaseless inverse scattering and the phase problem in optics, J. Math. Phys. 33, 1992, 3813-3821
  35. Reconstruction of step-like potentials, Wave Motion 18 , 1993, 21-30
  36. (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,
  37. (with J. R. McLaughlin and P. Polyakov) Reconstruction of a spherically symmetric index of refraction, SIAM J. Appl. Math., 54, 1994, 1203-1223
  38. (with M. Klibanov) Use of partial knowledge of the potential in the phase problem of inverse scattering, J. Comp. Phys 112 , 1994, 273-281
  39. (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
  40. (with W. Rundell) On the determination of potentials without bound state data, J. Comp. Appl. Math., 55, 1994, 325-347
  41. (with M. Klibanov and A. Tikhonravov) The phase retrieval problem , Inverse Problems, 11, 1995, 1-28
  42. (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
  43. (with Rakesh) Impedance inversion from transmission data for the wave equation, Wave Motion, 24 1996, 263-274
  44. (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
  45. (with V. O. deHaan, A. A. van Well, S. Adenwalla and G. P. Felcher) Toward the solution of the inverse problem in neutron reflectometry , Physica B, 221, 1996, 524-532
  46. Recovery of singularities from amplitude information , J. Math. Phys., 38, 1997, 3497-3507
  47. (with G. Chavent, G. Papanicolaou and W. Symes) Inverse Problems in Wave Propagation, IMA Volume 90, Springer-Verlag 1997
  48. (with T. Aktosun) Inverse problems on the line without phase information, Inverse Problems, 14, 1998, 211-224
  49. (with V. Yakhno) The inverse problem for a layered anisotropic half space, J. Math. Anal. Appl. 228, 1998, 377-398
  50. (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
  51. (with M. Yan, M. Afzal, S. Udpa, S. Mandayam, Y. Sun and L. Udpa) Iterative algorithms for electromagnetic NDE signal inversion , Nondestructive Evaluation (II) - Studies in Applied Electromagnetics and Mechanics, Albanese et al eds. 114, 1998, 287-296
  52. (with T. Aktosun) Inversion of reflectivity data for nondecaying potentials, SIAM J Appl Math. 60, 2000, 1340-1356
  53. (with T. Aktosun) Phase recovery with nondecaying potentials, Inverse Problems 16, 2000, 821-838
  54. (with W. Rundell) Reconstruction of a radially symmetric potential from two spectral sequences, J. Math. Anal. Appl. 264 2001, 354-381
  55. (with T. Aktosun) Potential splitting and numerical solution of the inverse scattering problem on the line , Math. Meth. Appl. Sci 25 2002, 347-355
  56. (with W. Rundell)  Numerical technique for the inverse resonance problem J. Comp. Appl. Math. 170, 2004, 337-347
  57. An inverse problem in coupled mode theory,  J.  Math. Phys., 45, 2004, 1699-1710
  58. (with J. Shin) Computational methods for some inverse scattering problems, submitted