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arXiv · 2307.16329

A Linear Equation on the Set of Probability Vectors on Graphs

Miho Kasai
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Abstract

In this paper we investigate solutions to a linear Hamilton-Jacobi equations in the Wasserstein space of probability vectors on a finite simply connected graph. We prove that there exists a solution under the assumption that the initial value function $u_0:\mathcal{P}(G)\to\mathbb{R}$ is Fr\'echet continuously differentiable.

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Miho Kasai. 2023-07-30. A Linear Equation on the Set of Probability Vectors on Graphs. https://arxiv.org/abs/2307.16329

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