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10 papers · 1 filter
Asymptotics of solutions of the wave equation on de Sitter-Schwarzschild space
Richard Melrose, Antônio Sá Barreto, András Vasy
Solutions to the wave equation on de Sitter-Schwarzschild space with smooth initial data on a Cauchy surface are shown to decay exponentially to a constant at temporal infinity, wi…
Uniqueness and Non-uniqueness in inverse radiative transfer
Plamen Stefanov, Alexandru Tamasan
We characterize the non-uniqueness in the inverse problem for the stationary transport model, in which the absorption "a" and the scattering coefficient "k" are to be recovered fro…
An inverse source problem in optical molecular imaging
Plamen Stefanov, Gunther Uhlmann
We study the direct and an inverse source problem for the radiative transfer equation arising in optical molecular imaging. We show that for generic absorption and scattering coeff…
Geometric second derivative estimates in Carnot groups and convexity
Nicola Garofalo
We prove some new a priori estimates for H_2-convex functions which are zero on the boundary of a bounded smooth domain Ωin a Carnot group G. Such estimates are global and are geom…
The subelliptic heat kernel on SU(2): Representations, Asymptotics and Gradient bounds
Fabrice Baudoin, Michel Bonnefont
The Lie group SU(2) endowed with its canonical subriemannian structure appears as a three-dimensional model of a positively curved subelliptic space. The goal of this work is to st…
Gauss-Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws
G. Q. Chen, M. Torres, W. Ziemer
We analyze a class of weakly differentiable vector fields (\FF \colon \rn \to \rn) with the property that (\FF\in L^{\infty}) and (÷\FF) is a Radon measure. The primary focus of ou…