A smooth variational principle on Wasserstein space

نویسندگان

چکیده

In this note, we provide a smooth variational principle on Wasserstein space by constructing gauge-type function using the sliced distance. This is crucial tool for optimization problems and in viscosity theory of PDEs space.

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 2023

ISSN: ['2330-1511']

DOI: https://doi.org/10.1090/proc/16466