139 citations · 256 across the 17 of their papers we have counts for
18 papers
Symmetrization on the sphere and applications
Satyanad Kichenassamy
We introduce a new method of symmetrization of mappings on the -sphere (). They are applied to estimate solutions of quasilinear elliptic partial differential equations…
Régularité du rayon hyperbolique
Satyanad Kichenassamy
Let be a bounded domain of class , . We show that if is the maximal solution of , which tends to as $(x,y)\to\pa…
Textual analysis of ancient Indian mathematics
Satyanad Kichenassamy
Recent analyses of Brahmagupta's discourse on the cyclic quadrilateral, and of Baudhāyana's approximate quadrature of the circle, have shown that it is useful to submit mathematica…
Renormalized variational principles and Hardy-type inequalities
Satyanad Kichenassamy
Let be a bounded domain on which Hardy's inequality holds. We prove that if , where denotes the distance to…
Boundary blow-up and degenerate equations
Satyanad Kichenassamy
Let be a bounded domain of class , . We show that if is the solution of which tends to as ,…
Boundary behavior in the Loewner-Nirenberg problem
Satyanad Kichenassamy
Let be a bounded domain of class , . We show that if and is the maximal solution of equation in $…
Schauder-type estimates and applications
Satyanad Kichenassamy
The Schauder estimates are among the oldest and most useful tools in the modern theory of elliptic partial differential equations (PDEs). Their influence may be felt in practically…
Further examples of apodictic discourse, I
Satyanad Kichenassamy
The analysis of problematic mathematical texts, particularly from India, has required the introduction of a new category of rigorous discourse, apodictic discourse. We briefly reca…
Apodictic discourse and the Cauchy-Bunyakovsky-Schwarz inequality
Satyanad Kichenassamy
Bunyakovsky's integral inequality (1859) is one of the familiar tools of modern Analysis. We try and understand what Bunyakovsky did, why he did it, why others did not follow the s…
Introduction {à} l'oeuvre de S. Kichenassamy en Physique Th{é}orique
Satyanad Kichenassamy
The work of S. Kichenassamy (1926-2015) in Theoretical and Mathematical Physics covers the spectrum of Relativistic Physics: from the clarification of the postulational basis of th…
The solution of Liouville's equation (1850, 1853) and its impact
E. M. Bogatov, S. Kichenassamy
Liouville's 1853 paper, in which he derived in closed form the general local solution of equation , is one of the few papers from the 19th century that 21st ce…
Instability of pole singularities for the Chazy equation
Satyanad Kichenassamy
We prove that the negative resonances of the Chazy equation (in thesense of Painlevé analysis) can be related directly to it sgroup-invariance properties. These resonances indicate…
Analytic description of singularities in Gowdy spacetimes
Satyanad Kichenassamy, Alan D. Rendall
We use Fuchsian Reduction to construct singular solutions of Einstein's equations which belong to the class of Gowdy spacetimes. The solutions have the maximum number of arbitrary…
Asymptotic Behavior in Polarized {\bf T}-symmetric Vacuum Spacetimes
James Isenberg, Satyanad Kichenassamy
We use Fuchsian Reduction to study the behavior near the singularity of a class of solutions of Einstein's vacuum equations. These solutions admit two commuting spacelike Killing f…
A study of ancient Khmer ephemerides
François Vernotte, Satyanad Kichenassamy
We study ancient Khmer ephemerides described in 1910 by the French engineer Faraut, in order to determine whether they rely on observations carried out in Cambodia. These ephemerid…
Breather Solutions of the Nonlinear Wave Equation
Satyanad Kichenassamy
We construct series solutions to all orders for breathers of Klein-Gordon equations, in powers of an amplitude parameter epsilon, under a sign condition on the coefficients of the…
Soliton stars in the breather limit
Satyanad Kichenassamy
This paper presents an asymptotic reduction of the Einstein-Klein-Gordon system with real scalar field ("soliton star problem"). A periodic solution of the reduced system, similar…
Control of blow-up singularities for nonlinear wave equations
Satyanad Kichenassamy
While the global boundary control of nonlinear wave equations that exhibit blow-up is generally impossible, we show on a typical example, motivated by laser breakdown, that it is p…