Publications

• Public

  Brahmagupta’s propositions on the perpendiculars of cyclic quadrilaterals Nov-2012

  DOI: 10.1016/j.hm.2012.07.004
  Kichenassamy, S, 2012, 'Brahmagupta’s propositions on the perpendiculars of cyclic quadrilaterals', Historia Mathematica, vol. 37, no. 4, pp. 385-404.
• Public

  Plofker, Kim, Mathematics in India Nov-2010

  DOI: 10.1163/001972410X517364
  Kichenassamy, S, 2010, 'Plofker, Kim, Mathematics in India', Indo-Iranian Journal, vol. 53, no. 4, pp. 373-381.
• Public

  Brahmagupta's derivation of the area of a cyclic quadrilateral: Historia Mathematica 2010

  DOI: 10.1016/j.hm.2009.08.004
  http://www.scopus.com/inward/record.url?eid=2-s2.0-70749138386&partnerID=MN8TOARS
  Kichenassamy, S., (2010). "Brahmagupta's derivation of the area of a cyclic quadrilateral", Historia Mathematica, vol. 37, no. 1, pp. 28-61
• Public

  Improving holder's inequality: Houston Journal of Mathematics 2010

  http://www.scopus.com/inward/record.url?eid=2-s2.0-77951785194&partnerID=MN8TOARS
  Satyanad, K., (2010). "Improving holder's inequality", Houston Journal of Mathematics, vol. 36, no. 1, pp. 303-312
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  Hypergeometric functions and singular solutions of wave equations with lorentz-invariant potential: Communications in Contemporary Mathematics 2009

  DOI: 10.1142/S0219199709003466
  http://www.scopus.com/inward/record.url?eid=2-s2.0-68049126294&partnerID=MN8TOARS
  Bentrad, A. and Kichenassamy, S., (2009). "Hypergeometric functions and singular solutions of wave equations with lorentz-invariant potential", Communications in Contemporary Mathematics, vol. 11, no. 3, pp. 447-458
• Public

  Soliton stars in the breather limit: Classical and Quantum Gravity 2008

  DOI: 10.1088/0264-9381/25/24/245004
  http://www.scopus.com/inward/record.url?eid=2-s2.0-70350067615&partnerID=MN8TOARS
  Kichenassamy, S., (2008). "Soliton stars in the breather limit", Classical and Quantum Gravity, vol. 25, no. 24
• Public

  The Perona-Malik method as an edge pruning algorithm: Journal of Mathematical Imaging and Vision 2008

  DOI: 10.1007/s10851-007-0029-2
  http://www.scopus.com/inward/record.url?eid=2-s2.0-37849011244&partnerID=MN8TOARS
  Kichenassamy, S., (2008). "The Perona-Malik method as an edge pruning algorithm", Journal of Mathematical Imaging and Vision, vol. 30, no. 2, pp. 209-219
• Public

  Fuchsian Reduction: Applications to Geometry, Cosmology and Mathematical Physics 2007

  Birkhäuser, Boston, October 2007.
• Public

  Semi-group theory for the Perona-Malik equation | Théorie des semi-groupes pour l'équation de Perona-Malik: Comptes Rendus Mathematique 2007

  DOI: 10.1016/j.crma.2007.01.004
  http://www.scopus.com/inward/record.url?eid=2-s2.0-33846795909&partnerID=MN8TOARS
  Kichenassamy, S., (2007). "Semi-group theory for the Perona-Malik equation | Théorie des semi-groupes pour l'équation de Perona-Malik", Comptes Rendus Mathematique, vol. 344, no. 4, pp. 225-229
• Public

  Baudhāyana's rule for the quadrature of the circle: Historia Mathematica 2006

  DOI: 10.1016/j.hm.2005.05.001
  http://www.scopus.com/inward/record.url?eid=2-s2.0-33746702655&partnerID=MN8TOARS
  Kichenassamy, S., (2006). "Baudhāyana's rule for the quadrature of the circle", Historia Mathematica, vol. 33, no. 2, pp. 149-183
• Public

  Chapter 5 Schauder-type estimates and applications: Handbook of Differential Equations: Stationary Partial Differential Equations 2006

  DOI: 10.1016/S1874-5733(06)80009-4
  http://www.scopus.com/inward/record.url?eid=2-s2.0-67649909381&partnerID=MN8TOARS
  Kichenassamy, S., (2006). "Chapter 5 Schauder-type estimates and applications", Handbook of Differential Equations: Stationary Partial Differential Equations, vol. 3, pp. 401-464
• Public

  Renormalized variational principles and Hardy-type inequalities 2006

  Differential and Integral Equations, 19 : 4 (2006) 437–448.
• Public

  Boundary behavior in the Loewner–Nirenberg problem May-2005

  DOI: 10.1016/j.jfa.2004.06.014
  Kichenassamy, S, 2005, 'Boundary behavior in the Loewner–Nirenberg problem', Journal of Functional Analysis, vol. 7, no. 1, pp. 1641-113.
• Public

  Régularité du rayon hyperbolique Jan-2004

  DOI: 10.1016/j.crma.2003.10.037
  Kichenassamy, S, 2004, 'Régularité du rayon hyperbolique', Comptes Rendus Mathematique, vol. 322, no. 1, pp. 445-18.
• Public

  Boundary blow-up and degenerate equations: Journal of Functional Analysis 2004

  DOI: 10.1016/j.jfa.2003.10.010
  http://www.scopus.com/inward/record.url?eid=2-s2.0-4344673098&partnerID=MN8TOARS
  Kichenassamy, S., (2004). "Boundary blow-up and degenerate equations", Journal of Functional Analysis, vol. 215, no. 2, pp. 271-289
• Public

  On a conjecture of Fefferman and Graham: Advances in Mathematics 2004

  DOI: 10.1016/S0001-8708(03)00145-2
  http://www.scopus.com/inward/record.url?eid=2-s2.0-2442707458&partnerID=MN8TOARS
  Kichenassamy, S., (2004). "On a conjecture of Fefferman and Graham", Advances in Mathematics, vol. 184, no. 2, pp. 268-288
• Public

  Smoothness of hyperbolic radius | Régularité du rayon hyperbolique: Comptes Rendus Mathematique 2004

  DOI: 10.1016/j.crma.2003.10.037
  http://www.scopus.com/inward/record.url?eid=2-s2.0-0742306732&partnerID=MN8TOARS
  Kichenassamy, S., (2004). "Smoothness of hyperbolic radius | Régularité du rayon hyperbolique", Comptes Rendus Mathematique, vol. 338, no. 1, pp. 13-18
• Public

  Stellar models and irregular singularities: Communications in Contemporary Mathematics 2003

  DOI: 10.1142/S0219199703001130
  http://www.scopus.com/inward/record.url?eid=2-s2.0-0346898130&partnerID=MN8TOARS
  Jager, L. and Kichenassamy, S., (2003). "Stellar models and irregular singularities", Communications in Contemporary Mathematics, vol. 5, no. 5, pp. 719-735
• Public

  Explosion et normes pour l'équation des ondes nonlinéaire cubique Dec-2002

  DOI: 10.1016/S1631-073X(02)02606-7
  Cabart, G & Kichenassamy, S, 2002, 'Explosion et normes pour l'équation des ondes nonlinéaire cubique', Comptes Rendus Mathematique, vol. 73, no. 11, pp. 357-908.
• Public

  Blow-up and Lp norms for the cubic nonlinear wave equation | Explosion et normes Lp pour l'équation des ondes nonlinéaire cubique: Comptes Rendus Mathematique 2002

  DOI: 10.1016/S1631-073X(02)02606-7
  http://www.scopus.com/inward/record.url?eid=2-s2.0-0037715267&partnerID=MN8TOARS
  Cabart, G. and Kichenassamy, S., (2002). "Blow-up and Lp norms for the cubic nonlinear wave equation | Explosion et normes Lp pour l'équation des ondes nonlinéaire cubique", Comptes Rendus Mathematique, vol. 335, no. 11, pp. 903-908
• Public

  Analytic description of singularities in Gowdy spacetimes Jan-1999

  DOI: 10.1088/0264-9381/15/5/016
  Kichenassamy, S & Rendall, A, 1999, 'Analytic description of singularities in Gowdy spacetimes', Classical and Quantum Gravity, vol. 28, no. 5, pp. 1977-1355.
• Public

  Asymptotic behavior in polarized T[sup 2]-symmetric vacuum space–times 1999

  DOI: 10.1063/1.532775
  Isenberg, J & Kichenassamy, S, 1999, 'Asymptotic behavior in polarized T[sup 2]-symmetric vacuum space–times', Journal of Mathematical Physics, vol. 83, no. 1, p. 203.
• Public

  WTC expansions and nonintegrable equations: Studies in Applied Mathematics 1999

  http://www.scopus.com/inward/record.url?eid=2-s2.0-0040711075&partnerID=MN8TOARS
  Kichenassamy, S., (1999). "WTC expansions and nonintegrable equations", Studies in Applied Mathematics, vol. 102, no. 1, pp. 1-26
• Public

  Analytic description of singularities in Gowdy spacetimes: Classical and Quantum Gravity 1998

  DOI: 10.1088/0264-9381/15/5/016
  http://www.scopus.com/inward/record.url?eid=2-s2.0-0032378032&partnerID=MN8TOARS
  Kichenassamy, S. and Rendall, A.D., (1998). "Analytic description of singularities in Gowdy spacetimes", Classical and Quantum Gravity, vol. 15, no. 5, pp. 1339-1355
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  Instability of pole singularities for the Chazy equation: Journal of Physics A: Mathematical and General 1998

  DOI: 10.1088/0305-4470/31/11/015
  http://www.scopus.com/inward/record.url?eid=2-s2.0-0032549425&partnerID=MN8TOARS
  Kichenassamy, S., (1998). "Instability of pole singularities for the Chazy equation", Journal of Physics A: Mathematical and General, vol. 31, no. 11, pp. 2675-2690
• Public

  A geometric snake model for segmentation of medical imagery: IEEE Transactions on Medical Imaging 1997

  http://www.scopus.com/inward/record.url?eid=2-s2.0-0031106963&partnerID=MN8TOARS
  Yezzi Jr., A. and Kichenassamy, S. and Kumar, A. and Olver, P. and Tannenbaum, A., (1997). "A geometric snake model for segmentation of medical imagery", IEEE Transactions on Medical Imaging, vol. 16, no. 2, pp. 199-209
• Public

  Existence of solitary waves for water-wave models: Nonlinearity 1997

  DOI: 10.1088/0951-7715/10/1/009
  http://www.scopus.com/inward/record.url?eid=2-s2.0-0000325785&partnerID=MN8TOARS
  Kichenassamy, S., (1997). "Existence of solitary waves for water-wave models", Nonlinearity, vol. 10, no. 1, pp. 133-151
• Public

  The Perona-Malik paradox: SIAM Journal on Applied Mathematics 1997

  http://www.scopus.com/inward/record.url?eid=2-s2.0-0031256990&partnerID=MN8TOARS
  Kichenassamy, S., (1997). "The Perona-Malik paradox", SIAM Journal on Applied Mathematics, vol. 57, no. 5, pp. 1328-1342
• Public

  Fuchsian Equations in Sobolev Spaces and Blow-Up Feb-1996

  DOI: 10.1006/jdeq.1996.0033
  Kichenassamy, S, 1996, 'Fuchsian Equations in Sobolev Spaces and Blow-Up', Journal of Differential Equations, vol. 125, no. 1, pp. 299-327.
• Public

  Applications of the division theorem in Hs: Journal of Dynamics and Differential Equations 1996

  http://www.scopus.com/inward/record.url?eid=2-s2.0-0042389305&partnerID=MN8TOARS
  Kichenassamy, S., (1996). "Applications of the division theorem in Hs", Journal of Dynamics and Differential Equations, vol. 8, no. 3, pp. 407-425
• Public

  Conformal curvature flows: From phase transitions to active vision: Archive for Rational Mechanics and Analysis 1996

  http://www.scopus.com/inward/record.url?eid=2-s2.0-0030488811&partnerID=MN8TOARS
  Kichenassamy, S. and Kumar, A. and Olver, P. and Tannenbaum, A. and Yezzi Jr., A., (1996). "Conformal curvature flows: From phase transitions to active vision", Archive for Rational Mechanics and Analysis, vol. 134, no. 3, pp. 275-301
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  Nonlinear Diffusion and Hyperbolic Smoothing for Edge Enhancement 1996

  DOI: 10.1007/3-540-76076-8_124
  Lect. Notes in Control and Info. Sci., 219, Springer Verlag, Berlin, pp. 119-124 (1996)
• Public

  The blow-up problem for exponential nonlinearities: Communications in Partial Differential Equations 1996

  http://www.scopus.com/inward/record.url?eid=2-s2.0-0000084014&partnerID=MN8TOARS
  Kichenassamy, S., (1996). "The blow-up problem for exponential nonlinearities", Communications in Partial Differential Equations, vol. 21, no. 1-2, pp. 125-162
• Public

  Active contours for visual tracking: a geometric gradient based approach: Proceedings of the IEEE Conference on Decision and Control 1995

  http://www.scopus.com/inward/record.url?eid=2-s2.0-0029518255&partnerID=MN8TOARS
  Kumar, A. and Yezzi, A. and Kichenassamy, S. and Olver, P. and Tannenbaum, A., (1995). "Active contours for visual tracking: a geometric gradient based approach", Proceedings of the IEEE Conference on Decision and Control, vol. 4, pp. 4041-4046
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  Gradient flows and geometric active contour models: IEEE International Conference on Computer Vision 1995

  http://www.scopus.com/inward/record.url?eid=2-s2.0-0029215266&partnerID=MN8TOARS
  Kichenassamy, Satyanad and Kumar, Arun and Olver, Peter and Tannenbaum, Allen and Yezzi, Anthony, (1995). "Gradient flows and geometric active contour models", IEEE International Conference on Computer Vision, pp. 810-815
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  Nonlinear Wave Equations 1995

  Monograph
• Public

  The structure of WTC expansions and applications: Journal of Physics A: General Physics 1995

  DOI: 10.1088/0305-4470/28/7/019
  http://www.scopus.com/inward/record.url?eid=2-s2.0-21844487067&partnerID=MN8TOARS
  Kichenassamy, S. and Srinivasan, G.K., (1995). "The structure of WTC expansions and applications", Journal of Physics A: General Physics, vol. 28, no. 7, pp. 1977-2004
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  The prolongation formula for tensor fields: Journal of Physics A: General Physics 1994

  DOI: 10.1088/0305-4470/27/23/029
  http://www.scopus.com/inward/record.url?eid=2-s2.0-36149036521&partnerID=MN8TOARS
  Kichenassamy, S., (1994). "The prolongation formula for tensor fields", Journal of Physics A: General Physics, vol. 27, no. 23, pp. 7857-7874
• Public

  Blow-up Surfaces for Nonlinear Wave Equations, I 1993

  DOI: 10.1080/03605309308820936
  Kichenassamy, S. and Littman, W., Communications in Partial Differential Equations, Volume 18, Issue 3-4, 1993.
• Public

  Blow-up surfaces for nonlinear wave equations, II 1993

  DOI: 10.1080/03605309308820997
  Kichenassamy, S. and Littman, W., Communications in Partial Differential Equations, Volume 18, Issue 11, 1993.
• Public

  Existence and Non-existence of Solitary Wave Solutions to Higher Order Model Evolution Equations 1992

  DOI: 10.1137/0523064
  Kichenassamy, S and Olver, Peter J., SIAM Journal on Mathematical Analysis, 23 (5) (Sept.1992) 1141-1166.
• Public

  Breather solutions of the nonlinear wave equation Sep-1991

  DOI: 10.1002/cpa.3160440704
  Kichenassamy, S, 1991, 'Breather solutions of the nonlinear wave equation', Communications on Pure and Applied Mathematics, vol. 43, no. 7, pp. 120-818.
• Public

  Local Index of Potential Operators of Monotone Type 1990

  http://www.math.uh.edu/~hjm/restricted/archive/v016n1/0139KICHENASSAMY.pdf
  Houston Journal of Mathematics, Vol. 16, No. 1, 1990
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  On the existence of radial solutions of quasilinear elliptic equations: Nonlinearity 1990

  DOI: 10.1088/0951-7715/3/3/008
  http://www.scopus.com/inward/record.url?eid=2-s2.0-0000670421&partnerID=MN8TOARS
  Kichenassamy, S. and Smoller, J., (1990). "On the existence of radial solutions of quasilinear elliptic equations", Nonlinearity, vol. 3, no. 3, pp. 677-694
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  Compactness theorems for differential forms 1989

  DOI: 10.1002/cpa.3160420104
  Comm. Pure Appl. Math., 42: 47–53
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  Quasilinear problems with singularities: Manuscripta Mathematica 1987

  DOI: 10.1007/BF01437485
  http://www.scopus.com/inward/record.url?eid=2-s2.0-0039405221&partnerID=MN8TOARS
  Kichenassamy, S., (1987). "Quasilinear problems with singularities", Manuscripta Mathematica, vol. 57, no. 3, pp. 281-313
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  Singular solutions of the p-laplace equation: Mathematische Annalen 1986

  DOI: 10.1007/BF01459140
  http://www.scopus.com/inward/record.url?eid=2-s2.0-0000875347&partnerID=MN8TOARS
  Kichenassamy, S. and Veron, L., (1986). "Singular solutions of the p-laplace equation", Mathematische Annalen, vol. 275, no. 4, pp. 599-615

Grants

Patents