Satyanad Kichenassamy
Professeur des Universités
Laboratoire de Mathématiques, FRE 3111
CNRS & 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

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

• Publié chez/Source: Marcel Dekker, September 1995. (ISBN: 0-8247-9328-5)
• Préface.
• Table des matières/Table of contents.
• Reviews

• Publié chez/Source: Birkhäuser, Boston, October 2007. (ISBN: 978-0-8176-4352-2)
• Volume 71 of the series: Progress in Nonlinear Differential Equations and Their Applications.
• Preface et table des matières/Preface and table of contents.
• Click here for more details
• Review (Mathematical Reviews).
• Review (Zentralblatt für Mathematik).

1. Solutions Positives des Équations Quasilinéaires Elliptiques,
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,
C. R. Acad. Sci. Paris, 301, série 1 (1985) 149-151 (with L. Véron).
3. Singular Solutions of the p-Laplace Equation,
Math. Ann., 275 (1986) 599-615 (with L. Véron).
4. Local Index of Potential Operators of Monotone Type,
Houston J. of Math., 16 : 1 (1990) 139-149.
5. Quasilinear Problems with Singularities,
Manuscripta Math., 57 (1987) 281-313.
6. Problèmes Quasilinéaires Elliptiques,
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,
Séminaire E. D. P. 1986–87, École Polytechnique, France.
8. Symmetrization on the Sphere and Applications,
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,
in Nonlinear Variational Problems: Volume 2, (A. Marino and M. K. V. Murthy Eds.), pp. 92-98 (1989) (with H. Brezis).
10. On the Existence of Radial Solutions of Quasilinear Elliptic Equations,
Nonlinearity, 3 (3) (August 1990) 677-694 (with J. Smoller).
11. Compactness Theorems for Differential Forms,
Commun. Pure and Appl. Math., 42 (1989) 47-54.
12. Breather Solutions of the Nonlinear Wave Equation,
Commun. Pure and Appl. Math., 44 (1991) 789-818.
13. Breathers and the Sine-Gordon Equation,
Contemporary Mathematics, 122 (1991) 73-76.
14. Existence and Non-existence of Solitary Wave Solutions to Higher Order Model Evolution Equations,
SIAM J. Math. Anal., 23 (5) (Sept.1992) 1141-1166 (with P. J. Olver).
15. Blow-up Surfaces for Nonlinear Wave Equations, Part I,
Commun. in P. D. E., 18 (3&4) 431-452 (1993) (with W. Littman).
16. Blow-up Surfaces for Nonlinear Wave Equations, Part II,
Commun. in P. D. E., 18 (11) 1869-1899 (1993) (with W. Littman).
17. Fuchsian Equations in Sobolev spaces and Blow-up,
J. Differ. Eq., 125 (1996) 299-327.
18. Applications of the Division Theorem in H ^s,
J. of Dynamics and Differ. Eq., 8 (3) (1996) 407-425.
19. The Prolongation Formula for Tensor Fields,
J. of Phys. A: Math. Gen., 27 (23) (Dec. 7, 1994) 7857-7874.
20. Gradient Flows and Geometric Active Contour Models,
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).
21. The Structure of WTC Exapnsions and Applications,
J. Phys. A: Math. Gen., 28 (7) (April 7, 1995) 1977-2004 (with G. K. Srinivasan).
22. The Blow-up Problem for Exponential Nonlinearities,
Commun. in PDE, 21 (1&2) (1996) 125-162.
23. Conformal Curvature Flows: From Phase Transitions to Active Vision,
Archive for Rational Mechanics and Analysis, 134 (1996) 275-301 (with A. Kumar, P. J. Olver, A. Tannenbaum and A. Yezzi).
24. A Geometric Snake Model for Segmentation of Medical Imagery,
IEEE Transactions on Medical Imaging, 16 (2) (April 1997) 199-209 (with A. Kumar, P. J. Olver, A. Tannenbaum and A. Yezzi).
25. Nonlinear Diffusion and Hyperbolic Smoothing for Edge Enhancement,
Lect. Notes in Control and Info. Sci., 219, Springer Verlag, Berlin, pp. 119-124 (1996).
26. The Perona-Malik Paradox,
SIAM Journal of Applied Mathematics, 57 (5) (October 1997) 1328-1342.
27. Existence of Solitary Waves for Water-wave Models,
Nonlinearity, 10 (1) (January 1997) 133-151.
28. Instability of Pole Singularities for the Chazy Equation,
J. Phys. A: Math. Gen., 31 (11) (1998) 2675-2690.
29. Analytic Description of Singularities in Gowdy Spacetimes,
Classical and Quantum Gravity, 15 (5) (1998) 1339-1355. (with A. D. Rendall).
30. WTC Expansions and Non-integrable Equations,
Studies in Applied Mathematics, 102 (1999) 1-26.
31. Asymptotic Behavior in Polarized T²-symmetric Spacetimes,
Journal of Mathematical Physics, 40 (1) (January 1999) 340-352 (with J. Isenberg).
32. Stability of Blow-up Patterns for Nonlinear Wave Equations,
Contemporary Mathematics, 255 (2000) 139-162.
33. Explosion et Normes L ^p pour l'équation des Ondes Nonlinéaire Cubique,
C. R. Acad. Sci. Paris, sér I, 355 (11) (2002) 903-908 (with G. Cabart).
34. A Linear Fuchsian Equation with Variable Indices,
J. Differ. Eq., 190 (1) (2003) 64-80 (with A. Bentrad).
35. Stellar Models and Irregular Singularities,
Communications in Contemporary Mathematics, 5 (5) (2003) 719-735 (with L. Jager).
36. On a Conjecture of Fefferman and Graham,
Advances in Mathematics, 184 (2) (2004) 268-288.
37. Régularité du Rayon Hyperbolique,
C. R. Acad. Sci. Paris, sér I, 338 (1) (2004) 13-18.
38. Boundary Blow-up and Degenerate Equations,
Journal of Functional Analysis, 215 (2) (2004) 271-289.
39. La Compréhension Interlinguisitique en Inde,
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).
40. Boundary Behavior in the Loewner-Nirenberg Problem,
Journal of Functional Analysis, 222 (1) (2005) 98-113.
41. Recent Progress on Boundary Blow-up,
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).
42. Baudhayana's rule for the Quadrature of the Circle,
Historia Mathematica, 33 (2) (2006) 149–183.
43. Symmetric Hyperbolic Systems and Shock Waves,
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).
44. Renormalized Variational Principles and Hardy-type Inequalities,
Differential and Integral Equations, 19 (4) (2006) 437-448.
45. Schauder-type Estimates and Applications,
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).
46. The Mathematical Analysis of the Perona-Malik Equation and its Practical Impact,
Proceedings of Mathematics and Image Analysis 2006 (Paris, Sept. 18-21, 2006).
47. Théorie des Semi-groupes pour l'équation de Perona-Malik,
C. R. Acad. Sci. Paris, sér I, 344 (4) (2007) 225-229.
48. The Perona-Malik Method as an Edge Pruning Algorithm,
Journal of Mathematical Imaging and Vision, 30 (2) (2008) 209-219.
49. Hypergeometric Functions and Singular Solutions of Wave Equations with Lorentz-invariant Potential,
Communications in Contemporary Mathematics 11 (3) (2009) 447-458 (with A. Bentrad).
50. Soliton Stars in the Breather Limit,
Classical and Quantum Gravity, 25 (2008) 245004.
51. Brahmagupta's Derivation of the Area of a Cyclic Quadrilateral,
Historia Mathematica, to appear.
52. Improving Hölder's inequality,
Houston Journal of Mathematics, to appear.