Simultaneous determination of two coefficients in the Riemannian hyperbolic equation from boundary measurements
Sign Up to like & getrecommendations! Published in 2019 at "Annals of Global Analysis and Geometry"
DOI: 10.1007/s10455-019-09668-7
Abstract: In this paper, we consider the inverse problem of determining on a compact Riemannian manifold the electric potential and the absorption coefficient in the wave equation with Dirichlet data from measured Neumann boundary observations. This… read more here.
Keywords: simultaneous determination; coefficients riemannian; two coefficients; determination two ... See more keywords
A formula for the heat kernel coefficients on Riemannian manifolds
Sign Up to like & getrecommendations! Published in 2020 at "Tohoku Mathematical Journal"
DOI: 10.2748/tmj/1593136821
Abstract: Based on the idea of adiabatic expansion theory, we will present a new formula for the asymptotic expansion coefficients of every derivative of the heat kernel on a compact Riemannian manifold. It will be very… read more here.
Keywords: formula heat; coefficients riemannian; heat kernel; riemannian manifolds ... See more keywords