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Updated May 2011
Satyanad Kichenassamy
Professeur des Universités
Laboratoire de Mathématiques
Université de Reims Champagne-Ardenne
Moulin de la Housse - B.P. 1039
F-51687 Reims Cedex 2
France
My e-mail address follows the general format: firstname.lastname@univ-reims.fr
Ph.: +33(0)3.26.91.83.89


Titres universitaires/Academic titles


Ancien élève de l'Ecole Normale Supérieure (rue d'Ulm)
Agrégation (Mathématiques)
Doctorat (Université Paris VI, spécialité : Mathématiques)
Habilitation à diriger des recherches en sciences

Comités de lecture/Editorial boards

Livres/Books

A. Nonlinear Wave Equations B. Fuchsian Reduction : Applications to Geometry, Cosmology and Mathematical Physics

Articles

Liens vers le texte intégral de certains articles/Link to full text of some papers
  1. Solutions Positives des Équations Quasilinéaires Elliptiques,
    2. C. R. Acad. Sci. Paris, 300, série 1 (1985) 589-591 (with J. Smoller).
  2. Singularités Isolées de l'Équation  div (|∇u|(p-2)∇u)=0,
    3. C. R. Acad. Sci. Paris, 301, série 1 (1985) 149-151 (with L. Véron).
  3. Singular Solutions of the p-Laplace Equation,
    4. Math. Ann., 275 (1986) 599-615 (with L. Véron). Link to PDF
  4. Local Index of Potential Operators of Monotone Type,
    5. Houston J. of Math., 16 : 1 (1990) 139-149. Link to PDF
  5. Quasilinear Problems with Singularities,
    6. Manuscripta Math., 57 (1987) 281-313. Link to PDF
  6. Problèmes Quasilinéaires Elliptiques,
    7. Thèse, Doctorat de Mathématiques, Université Paris 6, defended January 26, 1987 (advisor: Haïm Brezis).
  7. Périmètre sur les Variétés et Applications aux Équations aux Dérivées Partielles,
    8. Séminaire E. D. P. 1986–87, École Polytechnique, France. Link to PDF
  8. Symmetrization on the Sphere and Applications,
    9. in Nonlinear Partial Differential Equations and Applications, Collège de France Seminar vol. X (1987-88), (H. Brezis and J.-L. Lions (Eds.), Pitman Res. Notes in Math. Series, volume 220, Longman Sci. Tech., Harlow, pp. 272-283 (1991).
  9. Energy Estimates for Surface-Valued Maps with Prescribed Singularities,
    10. in Nonlinear Variational Problems: Volume 2, (A. Marino and M. K. V. Murthy Eds.), pp. 92-98 (1989) (with H. Brezis).
  10. Compactness Theorems for Differential Forms,
    11. Commun. Pure and Appl. Math., 42 (1989) 47-54. Link to PDF
  11. On the Existence of Radial Solutions of Quasilinear Elliptic Equations,
    12. Nonlinearity, 3 (3) (August 1990) 677-694 (with J. Smoller). Link to PDF
  12. Breather Solutions of the Nonlinear Wave Equation,
    13. Commun. Pure and Appl. Math., 44 (1991) 789-818. Link to PDF
  13. Breathers and the Sine-Gordon Equation,
    14. Contemporary Mathematics, 122 (1991) 73-76.
  14. Existence and Non-existence of Solitary Wave Solutions to Higher Order Model Evolution Equations,
    15. SIAM J. Math. Anal., 23 (5) (Sept.1992) 1141-1166 (with P. J. Olver). Link to PDF
  15. Blow-up Surfaces for Nonlinear Wave Equations, Part I,
    16. Commun. in P. D. E., 18 (3&4) 431-452 (1993) (with W. Littman). Link to PDF
  16. Blow-up Surfaces for Nonlinear Wave Equations, Part II,
    17. Commun. in P. D. E., 18 (11) 1869-1899 (1993) (with W. Littman). Link to PDF
  17. The Prolongation Formula for Tensor Fields,
    18. J. of Phys. A: Math. Gen., 27 (23) (Dec. 7, 1994) 7857-7874. Link to PDF
  18. Gradient Flows and Geometric Active Contour Models,
    19. in Proceedings of the ICCV 1995 (International Conference on Computer Vision) pp. 810-815 (with A. Kumar, P. J. Olver, A. Tannenbaum and A. Yezzi). Link to PDF
  19. The Structure of WTC Exapnsions and Applications,
    20. J. Phys. A: Math. Gen., 28 (7) (April 7, 1995) 1977-2004 (with G. K. Srinivasan). Link to PDF
  20. Active Contours for Visual Tracking: A Geometric Gradient Based Approach,
    21. in Proceedings of the 34th IEEE Conference on Decision and Control (1995), vol.\ 4, pp. 4041-4046 (with A. Kumar, P. J. Olver, A. Tannenbaum and A. Yezzi). Link to PDF
  21. Fuchsian Equations in Sobolev spaces and Blow-up,
    22. J. Differ. Eq., 125 (1996) 299-327. Link to PDF
  22. Applications of the Division Theorem in H s,
    23. J. of Dynamics and Differ. Eq., 8 (3) (1996) 407-425. Link to PDF
  23. The Blow-up Problem for Exponential Nonlinearities,
    24. Commun. in PDE, 21 (1&2) (1996) 125-162. Link to PDF
  24. Conformal Curvature Flows: From Phase Transitions to Active Vision,
    25. Archive for Rational Mechanics and Analysis, 134 (1996) 275-301 (with A. Kumar, P. J. Olver, A. Tannenbaum and A. Yezzi). Link to PDF
  25. Nonlinear Diffusion and Hyperbolic Smoothing for Edge Enhancement,
    26. Lect. Notes in Control and Info. Sci., 219, Springer Verlag, Berlin, pp. 119-124 (1996). Link to PDF
  26. A Geometric Snake Model for Segmentation of Medical Imagery,
    27. IEEE Transactions on Medical Imaging, 16 (2) (April 1997) 199-209 (with A. Kumar, P. J. Olver, A. Tannenbaum and A. Yezzi). Link to PDF
  27. The Perona-Malik Paradox,
    28. SIAM Journal of Applied Mathematics, 57 (5) (October 1997) 1328-1342. Link to PDF
  28. Existence of Solitary Waves for Water-wave Models,
    29. Nonlinearity, 10 (1) (January 1997) 133-151. Link to PDF
  29. Instability of Pole Singularities for the Chazy Equation,
    30. J. Phys. A: Math. Gen., 31 (11) (1998) 2675-2690. Link to PDF
  30. Analytic Description of Singularities in Gowdy Spacetimes,
    31. Classical and Quantum Gravity, 15 (5) (1998) 1339-1355. (with A. D. Rendall). Link to PDF
  31. WTC Expansions and Non-integrable Equations,
    32. Studies in Applied Mathematics, 102 (1999) 1-26. Link to PDF
  32. Asymptotic Behavior in Polarized T2-symmetric Spacetimes,
    33. Journal of Mathematical Physics, 40 (1) (January 1999) 340-352 (with J. Isenberg).
  33. Stability of Blow-up Patterns for Nonlinear Wave Equations,
    34. Contemporary Mathematics, 255 (2000) 139-162.
  34. Explosion et Normes L p pour l'équation des Ondes Nonlinéaire Cubique,
    35. C. R. Acad. Sci. Paris, sér I, 355 (11) (2002) 903-908 (with G. Cabart). Link to PDF
  35. A Linear Fuchsian Equation with Variable Indices,
    36. J. Differ. Eq., 190 (1) (2003) 64-80 (with A. Bentrad). Link to PDF
  36. Stellar Models and Irregular Singularities,
    37. Communications in Contemporary Mathematics, 5 (5) (2003) 719-735 (with L. Jager). Link to PDF
  37. On a Conjecture of Fefferman and Graham,
    38. Advances in Mathematics, 184 (2) (2004) 268-288. Link to PDF
  38. Régularité du Rayon Hyperbolique,
    39. C. R. Acad. Sci. Paris, sér I, 338 (1) (2004) 13-18. Link to PDF
  39. Boundary Blow-up and Degenerate Equations,
    40. Journal of Functional Analysis, 215 (2) (2004) 271-289. Link to PDF
  40. La Compréhension Interlinguisitique en Inde,
    41. in Proceedings of the international conference organized by CIRLEP on ``L'avenir du Patrimoine Linguistique Européen,'' (The Future of Europe's Linguistic Heritage) Reims, (July 3, 2003) (E. Castagne and J.-E. Tyvaert Eds.) pp. 45-49 (2004). Link to PDF
  41. Boundary Behavior in the Loewner-Nirenberg Problem,
    42. Journal of Functional Analysis, 222 (1) (2005) 98-113. Link to PDF
  42. Recent Progress on Boundary Blow-up,
    43. in Elliptic and Parabolic Problems : A Special Tribute to the Work of Haïm Brezis (C. Bandle et al. eds.), Progress in Nonlinear Differential Equations and Their Applications, vol. 63, Birkhäuser, pp. 289-301 (2005). Link to PDF
  43. Baudhayana's rule for the Quadrature of the Circle,
    44. Historia Mathematica, 33 (2) (2006) 149–183. Link to PDF
  44. Symmetric Hyperbolic Systems and Shock Waves,
    45. in Encyclopedia of Mathematical Physics, Elsevier (J.-P. Françoise, G. L. Naber, Tsou S. T. Eds.), vol. 5, Oxford : Elsevier, pp. 160-166 (2006) (ISBN 978-0-1251-2666-3).
  45. Renormalized Variational Principles and Hardy-type Inequalities,
    46. Differential and Integral Equations, 19 (4) (2006) 437-448.
  46. Schauder-type Estimates and Applications,
    47. Chapter 5 of the Handbook of Differential Equations, Section Stationary Partial Differential Equations, vol. 3, M. Chipot and P. Quittner (eds.), Elsevier, pp. 401-464 (2006) (ISBN 978-0-444-52846-9). Link to PDF
  47. The Mathematical Analysis of the Perona-Malik Equation and its Practical Impact,
    48. Proceedings of Mathematics and Image Analysis 2006 (Paris, Sept. 18-21, 2006).
  48. Théorie des Semi-groupes pour l'équation de Perona-Malik,
    49. C. R. Acad. Sci. Paris, sér I, 344 (4) (2007) 225-229. Link to PDF
  49. The Perona-Malik Method as an Edge Pruning Algorithm,
    50. Journal of Mathematical Imaging and Vision, 30 (2) (2008) 209-219. Link to PDF
  50. Soliton Stars in the Breather Limit,
    51. Classical and Quantum Gravity, 25 (2008) 245004. Link to PDF
  51. Hypergeometric Functions and Singular Solutions of Wave Equations with Lorentz-invariant Potential,
    52. Communications in Contemporary Mathematics 11 (3) (2009) 447-458 (with A. Bentrad). Link to PDF
  52. Brahmagupta's Derivation of the Area of a Cyclic Quadrilateral,
    53. Historia Mathematica, 37 (1) (2010) 28-61. Link to PDF
  53. Improving Hölder's Inequality,
    54. Houston Journal of Mathematics, 36 (1) (2010) 303-312. Link to PDF
  54. Review of Mathematics in India by Kim Plofker (Princeton University Press, 2009),
    55. Indo-Iranian Journal, 53 (4) (2010) 373-381. Link to PDF
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