2 papers
math.DS2022
A dichotomy on the self-similarity of graph-directed attractors
Kenneth J. Falconer, Jiaxin Hu, Junda Zhang
This paper seeks conditions that ensure that the attractor of a graph directed iterated function system (GD-IFS) cannot be realised as the attractor of a standard iterated function…
math-ph2011
Inhomogeneous parabolic equations on unbounded metric measure spaces
Kenneth J. Falconer, Jiaxin Hu, Yuhua Sun
We study inhomogeneous semilinear parabolic equations with source term f independent of time u_{t}=Δu+u^{p}+f(x) on a metric measure space, subject to the conditions that f(x)\geq…