Quadratic Transportation Cost Inequality For Scalar Stochastic Conservation Laws
Rangrang Zhang, Tusheng Zhang
TL;DR
This paper proves a quadratic transportation cost inequality for scalar stochastic conservation laws with multiplicative noise, utilizing the doubling variables method to establish the inequality.
Contribution
It introduces a quadratic transportation cost inequality for stochastic conservation laws driven by multiplicative noise, advancing the understanding of their probabilistic properties.
Findings
Established a quadratic transportation cost inequality.
Utilized the doubling variables method.
Enhanced the theoretical framework for stochastic conservation laws.
Abstract
In this paper, we established a quadratic transportation cost inequality for scalar stochastic conservation laws driven by multiplicative noise. The doubling variables method plays an important role.
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Taxonomy
TopicsStochastic processes and financial applications · Geometric Analysis and Curvature Flows · Point processes and geometric inequalities