Existence of parabolic minimizers to the total variation flow on metric measure spaces
Sign Up to like & getrecommendations! Published in 2022 at "manuscripta mathematica"
DOI: 10.1007/s00229-021-01350-2
Abstract: We give an existence proof for variational solutions u associated to the total variation flow. Here, the functions being considered are defined on a metric measure space $$({\mathcal {X}}, d, \mu )$$ ( X ,… read more here.
Keywords: variation flow; total variation; parabolic minimizers; metric measure ... See more keywords
On boundary detachment phenomena for the total variation flow with dynamic boundary conditions
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.07.015
Abstract: We combine the total variation flow suitable for crystal modeling and image analysis with the dynamic boundary conditions. We analyze the behavior of facets at the parts of the boundary where these conditions are imposed.… read more here.
Keywords: dynamic boundary; total variation; variation flow; boundary conditions ... See more keywords