On the Dirichlet Problem for the One‐Dimensional Rudin–Osher–Fatemi Functional
Piotr Rybka · Mathematical Methods in the Applied Sciences · 2025
ABSTRACT We provide a number of sufficient conditions for those minimizers of the one‐dimensional Rudin–Osher–Fatemi functional that 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.