Calculus of Variations and Geometric Measure Theory
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P. Athavale - R. L. Jerrard - M. Novaga - G. Orlandi

Weighted TV minimization and applications to vortex density models

created by novaga on 11 Sep 2015
modified on 15 May 2016

[BibTeX]

Accepted Paper

Inserted: 11 sep 2015
Last Updated: 15 may 2016

Journal: Journal of Convex Analysis
Year: 2015

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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