Hopf–Cole transformation via generalized Schrödinger bridge problem
نویسندگان
چکیده
We study generalized Hopf–Cole transformations motivated by the Schrödinger bridge problem, which can be seen as a boundary value Hamiltonian system on Wasserstein space. prove that are symplectic submersions in geometry. Based this transformation, energy splitting inequalities provided.
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2021
ISSN: ['1090-2732', '0022-0396']
DOI: https://doi.org/10.1016/j.jde.2020.10.029