18 citations · 26 across the 6 of their papers we have counts for
6 papers
Lipschitz-free spaces over properly metrisable spaces and approximation properties
Richard J. Smith, Filip Talimdjioski
Let be a topological space admitting a compatible proper metric, that is, a locally compact, separable and metrisable space. Let be the non-empty set of all pro…
Convex integrals of molecules in Lipschitz-free spaces
Ramón J. Aliaga, Eva Pernecká, Richard J. Smith
We introduce convex integrals of molecules in Lipschitz-free spaces as a continuous counterpart of convex series considered elsewhere, based on the de Leeuw repres…
Convergence Analysis of the Geometric Thin-Film Equation
Lennon Ó Náraigh, Khang Ee Pang, Richard J. Smith
The Geometric Thin-Film equation is a mathematical model of droplet spreading in the long-wave limit, which includes a regularization of the contact-line singularity. We show that…
Lipschitz-Free Spaces over Manifolds and the Metric Approximation Property
Richard J. Smith, Filip Talimdjioski
Let be a norm on and let be a closed -submanifold of . Consider the pointed metric space , where is the metric given by…
A new convergence analysis of the particle method for the Camassa-Holm equation
Lennon Ó Náraigh, Khang Ee Pang, Richard J. Smith
We present a new self-contained convergence analysis of the particle method that can be applied to a range of PDEs, including the Camassa-Holm equation. It is a development of the…
Strictly convex norms and topology
José Orihuela, Richard J. Smith, Stanimir Troyanski
We introduce a new topological property called (*) and the corresponding class of topological spaces, which includes spaces with -diagonals and Gruenhage spaces. Using (*), we…