Jump processes as generalized gradient flows
نویسندگان
چکیده
Abstract We have created a functional framework for class of non-metric gradient systems. The state space is nonnegative measures, and the systems includes Forward Kolmogorov equations laws Markov jump processes on Polish spaces. This comprises definition notion solutions, method to prove existence, an archetype uniqueness result. do this by using only structure that provided directly dissipation functional, which need not be homogeneous, we appeal any metric structure.
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2022
ISSN: ['0944-2669', '1432-0835']
DOI: https://doi.org/10.1007/s00526-021-02130-2