Motivated by models arising in the description of Bose-Einstein condensation, we consider total variation minimization problems in which the total variation is weighted by a function that may degenerate near the domain boundary, and the fidelity term contains a weight that may be both degenerate and singular. We develop a general theory for a class of such problems, with special attention to the examples arising from physical models.

Weighted TV Minimization and Applications to Vortex Density Models

G. Orlandi
2017-01-01

Abstract

Motivated by models arising in the description of Bose-Einstein condensation, we consider total variation minimization problems in which the total variation is weighted by a function that may degenerate near the domain boundary, and the fidelity term contains a weight that may be both degenerate and singular. We develop a general theory for a class of such problems, with special attention to the examples arising from physical models.
superfluidity
total variation
vorticity
weighted area
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/973610
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