Variational solutions to the total variation flow on metric measure spaces
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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en
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31
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Nonlinear Analysis, Theory, Methods and Applications, Volume 220, pp. 1-31
Abstract
We discuss a purely variational approach to the total variation flow on metric measure spaces with a doubling measure and a Poincaré inequality. We apply the concept of parabolic De Giorgi classes together with upper gradients, Newtonian spaces and functions of bounded variation to prove a necessary and sufficient condition for a variational solution to be continuous at a given point.Description
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Buffa, V, Kinnunen, J & Pacchiano Camacho, C 2022, 'Variational solutions to the total variation flow on metric measure spaces', Nonlinear Analysis, Theory, Methods and Applications, vol. 220, 112859, pp. 1-31. https://doi.org/10.1016/j.na.2022.112859