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 09 Nov 2018


Published Paper

Inserted: 11 sep 2015
Last Updated: 9 nov 2018

Journal: Journal of Convex Analysis
Volume: 24
Number: 4
Pages: 1051-1084
Year: 2017

ArXiv: 1509.03713 PDF


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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