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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…