Publications Research Announcements

Papers in Conference Proceedings

1. On the analytic theory of a class of singular partial differential equations, in Analytic Methods in Mathematical Physics, Gordon and Breach, New York, l970, 4l5-424.

2. New results on the approximation of solutions to partial differential equations: iterative methods, in Analytic Theory of Differential Equations, Springer-Verlag Lecture Note Series, Vol. 183, 1971, 213-220 (with R. P. Gilbert).

3. New results on the approximation of solutions to partial differential equations: the method of particular solutions, in Analytic Theory of Differential Equations, Springer-Verlag Lecture Note Series, Vol. 183, 1971, 207-212 (with R. P. Gilbert).

4. On the numerical treatment of partial differential equations by function theoretic methods, in Numerical Solution of Partial Differential Equations - II, Academic Press, New York, l97l, 273-326 (with R. P. Gilbert).

5. Cauchy's problem and the analytic continuation of solutions to elliptic equations, in Proceedings of the Symposium on Non-Well Posed Problems and Logarithmic Convexity, Springer-Verlag Lecture Note Series, Vol. 316, 1973, 55-66.

6. The inverse Stefan problem, Berichte der Gesellschaft fur Mathematik und Datenverarbeitung mbH Bonn, 77 (1973), 29-41.

7. Integral operators for parabolic equations and their application, in Constructive and Computational Methods for Differential and Integral Equations, Springer-Verlag Lecture Note Series, Vol 430, 1974, 95-111.

8. Walsh's theorem for the heat equation, in Proceedings of the Conference on Ordinary and Partial Differential Equations, Springer-Verlag Lecture Note Series, Vol. 564, l976, 54-60.

9. Integral operators and inverse problems in scattering theory, in Proceedings of the Symposium on Function Theoretic Methods for Partial Differential Equations, Springer-Verlag, Lecture Note Series, Vol. 561, 1976, 17-28.

10. Transformation operators and wave propagation in a spherically stratified medium, in Differential Equations and Applications, North-Holland Mathematics Studies, Vol. 31, 1978, 181-187.

11. The approximation of solutions to the backwards heat equation by solutions of pseudoparabolic equations, in Inverse and Improperly Posed Problems in Differential Equations, Akademie- Verlag, Berlin 1979, 59-71.

12. Continuation and reflection of solutions to parabolic partial differential equations, in Proceedings of the Conference on Ordinary and Partial Differential Equations, Springer-Verlag Lecture Note Series, Vol. 827, 1980, 54-82.

13. Analytic continuation of solutions to partial differential equations with applications to problems in scattering theory, in Complex Analysis: Methods, Trends, and Applications, Akademie-Verlag, Berlin, 1983, 238-248.

14. The inverse scattering problem for acoustic waves, in Proceedings of the Conference on Ordinary and Partial Differential Equations, Springer-Verlag Lecture Note Series, Vol. 964, 1982, 143-161.

15. Analytic and numerical methods in the study of the inverse scattering problem for acoustic waves, in Improperly Posed Problems and Their Numerical Treatment, Birkhauser-Verlag International Series of Numerical Mathematics, Vol. 63, 1983, 47-55 (with A. Kirsch).

16. A numerical method for solving the inverse Stefan problem in two space variables, in Improperly Posed Problems and Their Numerical Treatment, Birkhauser-Verlag International Series of Numerical Mathematics, Vol. 63, 1983, 57-63 (with R. Reemtsen).
 
17. Two methods for solving the inverse scattering problem for time- harmonic acoustic waves, in Constructive Methodsfor the Practical Treatment of Integral Equations, Birkhauser-Verlag International Series of Numerical Mathematics, Vol. 73, 1985, 103-109.

18. Dense sets and far field patterns for the transmission problem, in Classical Scattering, Shiva Publishing, 1984, 45-54 (with A. Kirsch).

19. Uniqueness of solutions to the inverse acoustic scattering problem, in Classical Scattering, Shiva Publishing, 1984, 55-60 (with B. D. Sleeman).

20. Interior eigenvalues and the inverse scattering problem for electromagnetic waves, in Problems of Applied Analysis, Verlag Peter Lang, 1987, 76-86.

21. A new method for solving the inverse scattering problem, in Ordinary and Partial Differential Equations, Longman Publishing, 1987, 37-51.

22. Projection theorems for far field patterns and the inverse scattering problem, in Inverse and Ill-Posed Problems, Academic Press, 1987, 261-277 (with P. Monk).

23. Inverse problems in scattering theory, in Oakland Conference on Partial Differential Equations and Applied Mathematics, Longman Publishing, 1987, 39-73 (with P. Monk and F. Santosa).

24. Optimal methods for determining the shape of an obstacle, in Theory and Applications of Inverse Problems, Longman Publishing, 1988, 1-7.

25. The inverse scattering problem for time harmonic electromagnetic waves, in Integral Equations and Inverse Problems, Longman Publishing, 1991, 58-69 (with P. Monk).

26. The inverse scattering problem for acoustic waves in an inhomogeneous medium, in Inverse Problems in Partial Differential Equations, SIAM Publications, 1990, 73-84.

27. The inverse scattering problem for electromagnetic waves in an inhomogeneous medium, in Direct and Inverse Boundary Value Problems, Verlag Peter Lang, 1991, 27-35.

28. The inverse scattering problem for electromagnetic waves, in Inverse Problems in Scattering and Imaging, IOP Publishing, 1992, 59-70.

29. Target signatures for Maxwell's equations, in Inverse Problems in Mathematical Physics, Springer-Verlag Lecture Notes in Physics, Vol. 422, 1993, 22-28.

30. The monitoring of human or animal bone marrow by electromagnetic waves, in Inverse Problems: Principles and Applications in Geophysics, Technology and Medicine, Akademie Verlag, 1993, 100-110.

31. Spectral theory of the magnetic far field operator in an orthotropic medium, in Nonlinear Problems in Applied Mathematics, T. S. Angell, et. al., editors, SIAM Publications, Philadelphia, 1995, 96-103 (with C. Erbe).

32. A survey of selected topics in inverse electromagnetic scattering theory, in Inverse Problems in Wave Propagation, Springer-Verlag, 1997, 105-127.

33. Qualitative methods in inverse scattering theory, in Inverse Problems in Medical Imaging and Nondestructive Testing, Springer -Verlag, 1997, 36-42.

34. A brief introduction to inverse scattering theory, in Integral Methods in Science and Engineering, Longman Publishing, 1997, 3-8.

35. A linear method for solving inverse scattering problems in the resonance region, in Inverse Problems of Wave Propagation and Diffraction, Springer-Verlag, 1997, 86-92.

36. The inverse scattering problem for an orthotropic medium, in Modern Mathematical Methods in Diffraction Theory and its Applications in Engineering, Verlag Peter Lang, 1997, 31-39 .

37. Mathematical problems in microwave medical imaging, in Computational Radiology and Imaging: Therapy and Diagnostics, Springer-Verlag, 1999, 137-156 (with P. Monk).

38. A simple method for solving electromagnetic inverse scattering problems, in Mathematical Methods in Scattering Theory and Biomedical Technology, Longman Publishing, 1998, 3-11.

39. Recent progress on the inverse electromagnetic scattering problem for anisotropic media, in Mathematical and Numerical Aspects of Wave Propagation, SIAM Publications, 1998, 22-33.

40. The linear sampling method in inverse scattering theory, in Surveys on Solution Methods for Inverse Problems, Springer-Verlag, 2000, 107-118 (with A. Kirsch and P. Monk).
 
41. Critical values in inverse scattering theory, in Analytical and Computational Methods in Scattering and Applied Mathematics, Chapman and Hall, 2000, 57-65.

42. Inverse acoustic and electromagnetic scattering theory, in Inside Out, Cambridge University Press, 2003, 67-110.

43. Herglotz wave functions in inverse electromagnetic scattering theory, in Topics in Computational Wave Propagation, Springer Verlag, 2003, 367-394 (with P. Monk).

44. Mixed boundary value problems in inverse electromagnetic scattering,  in Advances in Scattering and Biomedical Engineering, World Scientific Publishing,  2004,  60-70  (with F. Cakoni).

45. Remarks on the  inverse scattering problem for acoustic waves, in New Analytic and Geometric Methods in Inverse Problems, Springer Verlag, 2004, 283-289.

46. Target identification of partially coated objects using electromagnetic waves, in Mathematical Methods in Scattering Theory and Biomedical Engineering, World Scientific Publishing, 2006, 104-111.

47. The inverse  scattering problem for anisotropic media, in Mathematical Methods in Scattering Theory and Biomedical Engineering, World Scientific Publishing 2008, 21-31 (with F. Cakoni).

48. The transmission eigenvalue problem , in Mathematical Methods in Scattering Theory and Biomedical Engineering, World Scientific Publishing 2010, 368-379  (with F. Cakoni and D. Gintides).

49. Inverse scattering, in Handbook of Mathematical Methods in Imagining,  Springer Verlag, 2010, 552-598  (with R. Kress).

50. Thirty years and still counting, Inverse problems and Imaging, 3 (2009), 151-153 (with R. Kress).