C. Denson Hill

Publications

  1. On the reflection of solutions of linear partial differential equations , Ph.D. Thesis , Courant Institute Math. Sc., NYU , 1966.

  2. Parabolic equations in one space variable and the noncharacteristic Cauchy problem , Comm. Pure Appl. Math., 20 , 3 (1967), 619-633.

  3. A method for the construction of reflection laws for a parabolic equation , Trans. AMS, 133 , 2 (1968), 357-372.

  4. Existence, uniqueness, stability, and monotone dependence in a Stefan problem for the heat equation (with J. R. Cannon), J. Math. Mech., 17 , 1 (1967), 1-20.

  5. A multi-boundary Stefan problem and the disappearance of phases (with J. R. Cannon and J. Douglas, Jr.), J. Math. Mech., 17 , 1 (1967), 21-34.

  6. Remarks on a Stefan problem (with J. R. Cannon), J. Math. Mech., 17 , 5 (1967), 433-442.

  7. On the infinite differentiability of the free boundary in a Stefan problem (with J. R. Cannon), J. Math. Anal. Appl., 22 , 2 (1968), 385-397.

  8. Continuous dependence of bounded solutions of a linear parabolic partial differential equation upon interior Cauchy data , (with J. R. Cannon), Duke Math. J., 35 , 2 (1968), 217-230.

  9. A finite-difference method for degenerate elliptic-parabolic equations (with J. R. Cannon), SIAM J. Numer. Anal., 5 , 2 (1968), 211-218.

  10. On the numerical solution of degenerate elliptic-parabolic equations , SIAM J. Numer. Anal., 5 , 4 (1968), 717-724.

  11. Linear functionals and the Cauchy-Kowalewski theorem , J. Math. Mech., 19 , 3 (1969), 271-278.

  12. A hyperbolic free boundary problem , J. Math. Anal. Appl., 31 , 1 (1970), 117-129.

  13. A sharp maximum principle for degenerate elliptic-parabolic equations , Indiana Univ. Math. J., 20 , 3 (1970), 213-229.

  14. On the movement of a chemical reaction interface (with J. R. Cannon), Indiana Univ. Math. J., 20 , 5 (1970), 429-454.

  15. The one-phase Stefan problem for the heat equation with boundary temperature specifications (with J. R. Cannon and M. Primicerio), Arch. Rational Mech. Anal., 39 , 4 (1970), 270-274.

  16. Complex characteristic coordinates and tangential Cauchy-Riemann equations (with A. Andreotti), Ann. Scuola Norm. Sup. Pisa, 26 , 2 (1972), 299-324.

  17. E. E. Levi convexity and the Hans Lewy problem, Part I: Reduction to vanishing theorems (with A. Andreotti), Ann. Scuola Norm. Sup. Pisa, 26 , 2 (1972), 325-363.

  18. E. E. Levi convexity and the Hans Lewy problem, Part II: Vanishing theorems (with A. Andreotti), Ann. Scuola Norm. Sup. Pisa, 26 , 4 (1972), 747-806.

  19. Classical solutions in the large of a two-phase free boundary problem, I (with D. B. Kotlow), Arch. Rational Mech. Anal., 45 , 1 (1972), 63-78.

  20. Classical solutions in the large of a two-phase free boundary problem, II (with D. B. Kotlow), Arch. Rational Mech. Anal., 47 , 5 (1972), 369-379.

  21. A Kontinuitätssatz for debarM and Lewy extendibility , Indiana Univ. Math. J., 22 , 4 (1972), 339-353.

  22. A PDE in R^3 with strange behavior , Indiana Univ. Math. J. 22 , 5 (1972), 415-517.

  23. The Cauchy problem for debar , Proc. Symp. Pure Math. (PDE), 23, AMS , Providence, R.I. (1973), 135-143.

  24. On the maximum modulus principle for the tangential Cauchy-Riemann equations (with J. Carlson), Math. Ann., 208 , (1974), 91-97.

  25. A hierarchy of nonsolvability examples , Proc. Symp. Pure Math. (Diff. Geom.), 27, AMS , Providence, R.I. (1975), 301-305.

  26. Mayer-Vietoris sequences for complexes of partial differential operators (with A. Andreotti, S. Lojasiewicz, and B. MacKichan), Bull. AMS, 82 , 3 (1976), 487-490.

  27. The maximum modulus principle, I. Necessary Conditions (with D. Ellis and C. Seabury), Indiana Univ. Math. J., 25 , 7 (1976), 709-715.

  28. Complexes of differential operators (with A. Andreotti, S. L ojasiewicz, and B. MacKichan), Inventiones Math., 35 , (1976), 43-86. [Volume dedicated to J. P. Serre.]

  29. The maximum modulus principle for CR functions on smooth real embedded submanifolds on C^n (with D. Ellis), Proc. Symp. Pure Math. (SCV), 30, AMS , Providence, R.I. (1977), 139-140.

  30. Function theory on tube manifolds (with M. Kazlow), Proc. Symp. Pure Math. (SCV), 30, AMS , Providence, R.I. (1977), 153-156.

  31. The local family of analytic discs attached to a CR submanifold (with G. Taiani), Proc. Conference on "Several complex variables and related topics in harmonic analysis" , Cortona, Italy (1978), 166-179.

  32. Hyperfunction cohomology classes and their boundary values (with B. MacKichan), Ann. Scuola Norm. Sup. Pisa, 4 , 3 (1977), 577-597. [Reprinted in the volume dedicated to J. Leray, Pisa, 1979.]

  33. Families of analytic discs in C^n with boundaries on a prescribed CR submanifold (with G. Taiani), Ann. Scuola Norm. Sup. Pisa, 5 , 2 (1978), 327-380. [Reprinted in the volume dedicated to H. Lewy, Pisa, 1979.]

  34. Global uniqueness in the disc lifting problem (with G. Taiani), J. Diff. Geom., 15 (1980), 217-223.

  35. Real analytic approximation of locally embeddable CR manifolds (with G. Taiani), Composito Math., 44 (1981), 113-131. [Volume dedicated to A. Andreotti.]

  36. On the H. Lewy extension phenomenon in higher codimension (with G. Taiani), Proc. AMS, 91 , 4 (1984), 568-572.

  37. What is the notion of a complex manifold with a smooth boundary?, Algebraic Analysis, Vol. 1(Kashiwara and Kawai, ed.) Academic Press (1988), 185-201. [Volumes dedicated to M. Sato.]

  38. The inverse problem of electroencephalography using an imaging technique for simulating cortical surface data (with R. B. Kearfott and R. D. Sidman), Proc. 12th IMACS world Congress (R. Vichnevetsky, P. Borne and J. Vignes, ed.), 3 (1988), 735-738.

  39. Development and application of mathematical techniques for the non invasive localization of the sources of scalp-recorded electric potentials (with R. D. Sidman, et. al.), Biomedical Systems Modelling and Simulation, Vol. 5 IMACS Trans. Scientific Computing (J. Eisenfeld and D. S. Levine, ed.), J. C. Baltzer AG, Basel (1988), 133-157.

  40. A family of exotic structures on S^2 X S^3 , in Analyse Complexe Multi variable: Récents Développements (A. Méril, ed.), Guadalupe (1988), Edit El, Commenda di Rende (1991), 105-110.

  41. The super complex Frobenius theorem (with S. R. Simanca), Annales Polonici Math. 55 (1991), 139-155.

  42. Numerical tests of a method for simulating electrical potentials on the cortical surface (with R. B. Kearfott, R. D. Sidman, D. J. Major), IEEE Trans. Biomedical Eng., 38 ,3 (1991), 294-299.

  43. Effective computation of the symmetric lens (with P. Susskind, V. Giambalvo), in Applied and Industrial Mathematics: Venice I (R. Spigler, ed.), Kluwer, Dordrecht (1991), 351-357.

  44. The Maxwell condition in Friedmann cosmology , in The Math. Heritage of C. F. Gauss (G. M. Rassias, ed.), World Scientific, Singapore (1991), 349-357.

  45. Counterexamples to Newlander-Nirenberg up to the boundary , Proc. Symp. Pure Math. (SCV), 52, AMS, Providence, R.I. (1991), 191-197.

  46. The CIT scan (with R. D. Sidman), in Wave Propagation and Inversion (W. E. Fitzgibbon, M. F. Wheeler, ed.), SIAM (1992), 34-45.

  47. An analytic disc approach to the notion of type of points (with R. Dwilewicz), Indiana Math. J., 41 (1992), 713-739.

  48. Newlander-Nirenberg theorem on supermanifolds with boundary (with S. R. Simanca), Riv. Mat. Univ. Parma, (5) 2 (1993), 213-228.

  49. A characterization of harmonic functions and points of finite and infinite type (with R. Dwilewicz), Indag. Mathem., 4 (1993), 39-50.

  50. A collar neighborhood theorem for a complex manifold (with M. Nacinovich), prépublication de l'Institut Fourier Grenoble, n.197 (1992); Rend. Sem. Mat. Univ. Padova, 91 (1994), 23-30.

  51. A necessary condition for global Stein immersion of compact CR manifolds (with M. Nacinovich), prépublication de l'Institut Fourier Grenoble, n.198 (1992); Riv. Mat. Univ. Parma, (5) 1 (1992), 175-182.

  52. Embeddable CR manifolds with nonembeddable smooth boundary (with M. Nacinovich), prépublication de l'Institut Fourier Grenoble, n.199 (1992); Boll. U.M.I., 7 (1993), 387-395.

  53. The topology of Stein CR manifolds and the Lefschetz theorem (with M. Nacinovich), Ann. Inst. Fourier Grenoble, 43 (1993), 459-468.

  54. The Jacobian theorem for mapping of pseudoconcave CR hypersurfaces (with M. Nacinovich), preprint, Dipartimento di matematica, Pisa 1.90, 767 (Oct 1993); Boll. U.M.I., 7 (1995), 149-155.

  55. Pseudoconcave CR manifolds (with M. Nacinovich), preprint, Dipartimento di matematica, Pisa 1.76, 723 (Feb 1993); in Complex Analysis and Geometry (V. Ancona, E. Ballico, A. Silva, ed.), Lecture notes in pure and applied mathematics vol. 173, Marcel Decker, New York (1996), 275-297.

  56. Aneurysms of Pseudoconcave CR manifolds (with M. Nacinovich), preprint, Dipartimento di matematica, Pisa 1.83, 745 (June 1993); Math. Zeitschrift 220 (1995), 347-367.

  57. Duality and distribution cohomology of CR manifolds (with M. Nacinovich), preprint, Dipartimento di matematica, Pisa 1.93, 787 (Feb 1994); Ann. Scuola Norm. Sup. Pisa, 22, 2 (1995), 315-339.

  58. On the Cauchy problem in complex analysis (with M. Nacinovich), preprint, Dipartimento di matematica, Pisa 1.103, 821 (Oct 1994); Ann. Mat. Pura Appl. CLXXI (1996), 159-179.

  59. Simplicially q-pseudoconcave CR manifolds and wedge decomposition (with M. Nacinovich), preprint, Dipartimento di matematica, Pisa 1.113, 845 (Feb. 1995); Sem. di Geom. Bologna 1996-1997 , 111-124.

  60. Spinning analytic discs and domains of dependence (with R. Dwilewicz), Manuscripta math. 97 (1998), 407-427.

  61. Solvable Lie algebras and the embedding of CR manifolds (with M. Nacinovich), Boll. U.M.I. 8, 2-B (1999), 121-126.

  62. Leray residues and Abel's theorem in CR codimension k (with M. Nacinovich), Ann. Mat. Pura Appl. CLXXVI (1999), 287-322.

  63. Conormal suspensions of differential complexes (with M. Nacinovich), preprint, Dipartimento di matematica, Pisa 1.179.1041 (June 1977); J. Geom. Anal. 10, 3 (2000), 496-537. [to appear]

  64. A weak pseudoconcavity condition for abstract almost CR manifolds (with M. Nacinovich), Inventiones Math., pp. 1-28, to appear.

  65. Pseudoconvexity at infinity (with M. Nacinovich), preprint, Dipartimento di matematica, Pisa 1,229.1228 (Feb. 2000).

  66. The conormal type function for CR manifolds (with R. Dwilewicz), preprint, pp. 1-31, to appear.