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arXiv · 1509.03713

Weighted TV minimization and applications to vortex density models

Prashant Athavale·Robert L. Jerrard·Matteo Novaga·Giandomenico Orlandi
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Abstract

Motivated in part by models arising from mathematical descriptions 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.

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Prashant Athavale, Robert L. Jerrard, Matteo Novaga, Giandomenico Orlandi. 2015-09-12. Weighted TV minimization and applications to vortex density models. https://arxiv.org/abs/1509.03713

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