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2024-08-24
On the Dirichlet problem for the one-dimensional ROF functional
Piotr Rybka
文献摘要
We provide a number of sufficient conditions for that minimizers of the one-dimensional Rudin-Osher-Fatemi functional satisfy the Dirichlet data in the trace sense. For this purpose we use results specific for the total variation flow. We also show a number of counterexamples.
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