4 papers
Monotonicity of the jump set and jump amplitudes in one-dimensional TV denoising
Riccardo Cristoferi, Rita Ferreira, Irene Fonseca +1
We revisit the classical problem of denoising a one-dimensional scalar-valued function by minimizing the sum of an fidelity term and the total variation, scaled by a regulari…
Homogenization and Phase Separation with Fixed Wells -- The Supercritical Case
Riccardo Cristoferi, Irene Fonseca, Likhit Ganedi
A variational model for the interaction between homogenization and phase separation is considered in the regime where the former happens at a finer scale than the latter. The first…
Homogenization and phase separation with space dependent wells -- The subcritical case
Riccardo Cristoferi, Irene Fonseca, Likhit Ganedi
A variational model for the interaction between homogenization and phase separation is considered. The focus is on the regime where the latter happens at a smaller scale than the f…
A homogenization result in the gradient theory of phase transitions
Riccardo Cristoferi, Irene Fonseca, Adrian Hagerty +1
A variational model in the context of the gradient theory for fluid-fluid phase transitions with small scale heterogeneities is studied. In particular, the case where the scale $\v…