Satyanad Kichenassamy
0000-0002-9767-4938
Keywords: computer vision, elliptic PDEs, history of mathematics, nonlinear waves, relativity, Nonlinear Analysis
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Scopus Author ID: 7003411907
Publications
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Brahmagupta’s propositions on the perpendiculars of cyclic quadrilaterals Nov-2012
Kichenassamy, S, 2012, 'Brahmagupta’s propositions on the perpendiculars of cyclic quadrilaterals', Historia Mathematica, vol. 37, no. 4, pp. 385-404. -
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Plofker, Kim, Mathematics in India Nov-2010
Kichenassamy, S, 2010, 'Plofker, Kim, Mathematics in India', Indo-Iranian Journal, vol. 53, no. 4, pp. 373-381. -
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Brahmagupta's derivation of the area of a cyclic quadrilateral: Historia Mathematica 2010
Kichenassamy, S., (2010). "Brahmagupta's derivation of the area of a cyclic quadrilateral", Historia Mathematica, vol. 37, no. 1, pp. 28-61 -
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Improving holder's inequality: Houston Journal of Mathematics 2010
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
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 -
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Soliton stars in the breather limit: Classical and Quantum Gravity 2008
Kichenassamy, S., (2008). "Soliton stars in the breather limit", Classical and Quantum Gravity, vol. 25, no. 24 -
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The Perona-Malik method as an edge pruning algorithm: Journal of Mathematical Imaging and Vision 2008
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 -
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Fuchsian Reduction: Applications to Geometry, Cosmology and Mathematical Physics 2007
Birkhäuser, Boston, October 2007. -
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Semi-group theory for the Perona-Malik equation | Théorie des semi-groupes pour l'équation de Perona-Malik: Comptes Rendus Mathematique 2007
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 -
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Baudhāyana's rule for the quadrature of the circle: Historia Mathematica 2006
Kichenassamy, S., (2006). "Baudhāyana's rule for the quadrature of the circle", Historia Mathematica, vol. 33, no. 2, pp. 149-183 -
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Chapter 5 Schauder-type estimates and applications: Handbook of Differential Equations: Stationary Partial Differential Equations 2006
Kichenassamy, S., (2006). "Chapter 5 Schauder-type estimates and applications", Handbook of Differential Equations: Stationary Partial Differential Equations, vol. 3, pp. 401-464 -
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Renormalized variational principles and Hardy-type inequalities 2006
Differential and Integral Equations, 19 : 4 (2006) 437–448. -
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Boundary behavior in the Loewner–Nirenberg problem May-2005
Kichenassamy, S, 2005, 'Boundary behavior in the Loewner–Nirenberg problem', Journal of Functional Analysis, vol. 7, no. 1, pp. 1641-113. -
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Régularité du rayon hyperbolique Jan-2004
Kichenassamy, S, 2004, 'Régularité du rayon hyperbolique', Comptes Rendus Mathematique, vol. 322, no. 1, pp. 445-18. -
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Boundary blow-up and degenerate equations: Journal of Functional Analysis 2004
Kichenassamy, S., (2004). "Boundary blow-up and degenerate equations", Journal of Functional Analysis, vol. 215, no. 2, pp. 271-289 -
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On a conjecture of Fefferman and Graham: Advances in Mathematics 2004
Kichenassamy, S., (2004). "On a conjecture of Fefferman and Graham", Advances in Mathematics, vol. 184, no. 2, pp. 268-288 -
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Smoothness of hyperbolic radius | Régularité du rayon hyperbolique: Comptes Rendus Mathematique 2004
Kichenassamy, S., (2004). "Smoothness of hyperbolic radius | Régularité du rayon hyperbolique", Comptes Rendus Mathematique, vol. 338, no. 1, pp. 13-18 -
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Stellar models and irregular singularities: Communications in Contemporary Mathematics 2003
Jager, L. and Kichenassamy, S., (2003). "Stellar models and irregular singularities", Communications in Contemporary Mathematics, vol. 5, no. 5, pp. 719-735 -
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Explosion et normes pour l'équation des ondes nonlinéaire cubique Dec-2002
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. -
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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
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 -
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Analytic description of singularities in Gowdy spacetimes Jan-1999
Kichenassamy, S & Rendall, A, 1999, 'Analytic description of singularities in Gowdy spacetimes', Classical and Quantum Gravity, vol. 28, no. 5, pp. 1977-1355. -
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Asymptotic behavior in polarized T[sup 2]-symmetric vacuum space–times 1999
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. -
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WTC expansions and nonintegrable equations: Studies in Applied Mathematics 1999
Kichenassamy, S., (1999). "WTC expansions and nonintegrable equations", Studies in Applied Mathematics, vol. 102, no. 1, pp. 1-26 -
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Analytic description of singularities in Gowdy spacetimes: Classical and Quantum Gravity 1998
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
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 -
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A geometric snake model for segmentation of medical imagery: IEEE Transactions on Medical Imaging 1997
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 -
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Existence of solitary waves for water-wave models: Nonlinearity 1997
Kichenassamy, S., (1997). "Existence of solitary waves for water-wave models", Nonlinearity, vol. 10, no. 1, pp. 133-151 -
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The Perona-Malik paradox: SIAM Journal on Applied Mathematics 1997
Kichenassamy, S., (1997). "The Perona-Malik paradox", SIAM Journal on Applied Mathematics, vol. 57, no. 5, pp. 1328-1342 -
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Fuchsian Equations in Sobolev Spaces and Blow-Up Feb-1996
Kichenassamy, S, 1996, 'Fuchsian Equations in Sobolev Spaces and Blow-Up', Journal of Differential Equations, vol. 125, no. 1, pp. 299-327. -
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Applications of the division theorem in Hs: Journal of Dynamics and Differential Equations 1996
Kichenassamy, S., (1996). "Applications of the division theorem in Hs", Journal of Dynamics and Differential Equations, vol. 8, no. 3, pp. 407-425 -
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Conformal curvature flows: From phase transitions to active vision: Archive for Rational Mechanics and Analysis 1996
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
Lect. Notes in Control and Info. Sci., 219, Springer Verlag, Berlin, pp. 119-124 (1996) -
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The blow-up problem for exponential nonlinearities: Communications in Partial Differential Equations 1996
Kichenassamy, S., (1996). "The blow-up problem for exponential nonlinearities", Communications in Partial Differential Equations, vol. 21, no. 1-2, pp. 125-162 -
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Active contours for visual tracking: a geometric gradient based approach: Proceedings of the IEEE Conference on Decision and Control 1995
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
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
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The structure of WTC expansions and applications: Journal of Physics A: General Physics 1995
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
Kichenassamy, S., (1994). "The prolongation formula for tensor fields", Journal of Physics A: General Physics, vol. 27, no. 23, pp. 7857-7874 -
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Blow-up Surfaces for Nonlinear Wave Equations, I 1993
Kichenassamy, S. and Littman, W., Communications in Partial Differential Equations, Volume 18, Issue 3-4, 1993. -
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Blow-up surfaces for nonlinear wave equations, II 1993
Kichenassamy, S. and Littman, W., Communications in Partial Differential Equations, Volume 18, Issue 11, 1993. -
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Existence and Non-existence of Solitary Wave Solutions to Higher Order Model Evolution Equations 1992
Kichenassamy, S and Olver, Peter J., SIAM Journal on Mathematical Analysis, 23 (5) (Sept.1992) 1141-1166. -
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Breather solutions of the nonlinear wave equation Sep-1991
Kichenassamy, S, 1991, 'Breather solutions of the nonlinear wave equation', Communications on Pure and Applied Mathematics, vol. 43, no. 7, pp. 120-818. -
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Local Index of Potential Operators of Monotone Type 1990
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
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
Comm. Pure Appl. Math., 42: 47–53 -
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Quasilinear problems with singularities: Manuscripta Mathematica 1987
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
Kichenassamy, S. and Veron, L., (1986). "Singular solutions of the p-laplace equation", Mathematische Annalen, vol. 275, no. 4, pp. 599-615
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