50 citations · 172 across the 48 of their papers we have counts for
62 papers
A nonlocal Gray-Scott model: well-posedness and diffusive limit
Philippe Laurençot, Christoph Walker
Well-posedness in of the nonlocal Gray-Scott model is studied for integrable kernels, along with the stability of the semi-trivial spatially homogeneous steady state. In…
A Note on the Compactness of the Resolvent of the Age-Diffusion Operator
Christoph Walker
The generator of the semigroup associated with linear age-structured population models including spatial diffusion is shown to have compact resolvent.
Stability and Instability of Equilibria in Age-Structured Diffusive Populations
Christoph Walker
The principle of linearized stability and instability is established for a classical model describing the spatial movement of an age-structured population with nonlinear vital rate…
Well-Posedness and Stability Analysis of an Epidemic Model with Infection Age and Spatial Diffusion
Christoph Walker
A compartment epidemic model for infectious disease spreading is investigated, where movement of individuals is governed by spatial diffusion. The model includes infection age of t…
A Remark on a Nonlocal-in-Time Heat Equation
Christoph Walker
Schauder's fixed point theorem is used to derive the existence of solutions to a semilinear heat equation. The equation features a nonlinear term that depends on the time-integral…
The nonlocal mean curvature flow of periodic graphs
Bogdan-Vasile Matioc, Christoph Walker
We establish the well-posedness of the nonlocal mean curvature flow of order for periodic graphs on in all subcritical little Hölder spaces ${\rm h}^{1…