22 citations · 31 across the 10 of their papers we have counts for
4 papers · 1 filter
Regularization of a backwards parabolic equation by fractional operators
Barbara Kaltenbacher, William Rundell
The backwards diffusion equation is one of the classical ill-posed inverse problems, related to a wide range of applications, and has been extensively studied over the last 50 year…
On the identification of source term in the heat equation from sparse data
William Rundell, Zhidong Zhang
We consider the recovery of a source term for the nonhomogeneous heat equation in where is a bounded domain in with smooth…
Recovery of multiple coefficients in a reaction-diffusion equation
Barbara Kaltenbacher, William Rundell
This paper considers the inverse problem of recovering both the unknown, spatially-dependent conductivity and the potential in a parabolic equation from overposed dat…
On the identification of a nonlinear term in a reaction-diffusion equation
Barbara Kaltenbacher, William Rundell
Reaction-diffusion equations are one of the most common partial differential equations used to model physical phenomenon. They arise as the combination of two physical processes: a…