5 papers
Linearized uniqueness of space dependent coefficients in a non-autonomous evolution equation from non-local observations
Barbara Kaltenbacher
In this paper, we consider identification of space dependent coefficients in a time dependent PDE, which is non-autonomous, due to a bilinear control term. We prove linearized uniq…
Decay rates to equilibrium in a nonlinear subdiffusion equation with two counteracting terms
Barbara Kaltenbacher
In this paper we prove convergence to a steady state as for solutions to the subdiffusion equation \[ \partial_t^αu - \mathbb{L} u = q(x)u - p(x)f(u) + r \] with the…
Locally-averaged McCormick relaxations for discretization-regularized inverse problems
Barbara Kaltenbacher, Paul Manns
In this paper, by means of a standard model problem, we devise an approach to computing approximate dual bounds for use in global optimization of coefficient identification in part…
Identification of space-dependent coefficients in two competing terms of a nonlinear subdiffusion equation
Barbara Kaltenbacher, William Rundell
We consider a (sub)diffusion equation with a nonlinearity of the form , where and are space dependent functions. Prominent examples are the Fisher-KPP, the Frank-…
Reconstruction of space-dependence and nonlinearity of a reaction term in a subdiffusion equation
Barbara Kaltenbacher, William Rundell
In this paper we study the simultaneous reconstruction of two coefficients in a reaction-subdiffusion equation, namely a nonlinearity and a space dependent factor. The fact that th…