3 papers
math.AP2020
An Approximation of Solutions to Heat Equations defined by Generalized Measure Theoretic Laplacians
Tim Ehnes, Ben Hambly
We consider the heat equation defined by a generalized measure theoretic Laplacian on . This equation describes heat diffusion in a bar such that the mass distribution of th…
math.PR2019
Stochastic Wave Equations defined by Fractal Laplacians on Cantor-like Sets
Tim Ehnes
We study stochastic wave equations in the sense of Walsh defined by fractal Laplacians on Cantor-like sets. For this purpose, we give an improved estimate on the uniform norm of ei…
math.PR2019
Stochastic Heat Equations defined by Fractal Laplacians on Cantor-like Sets
Tim Ehnes
We study stochastic heat equations in the sense of Walsh defined by fractal Laplacians on Cantor-like sets. For this purpose, we first investigate the corresponding heat kernels. T…