Logarithmic stability inequality in an inverse source problem for the   heat equation on a waveguide
  We prove logarithmic stability in the parabolic inverse problem of determining the space-varying factor in the source, by a single partial boundary measurement of the solution to the heat equation in an infinite closed waveguide, with homogeneous initial and Dirichlet data. 
Yavar Kian, Diomba Sambou and Eric Soccorsi
math.AP