Weighted TV minimization and applications to vortex density models
Mathematical Physics
2015-09-15 v1 Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.1509.03713,
title = {Weighted TV minimization and applications to vortex density models},
author = {Prashant Athavale and Robert L. Jerrard and Matteo Novaga and Giandomenico Orlandi},
journal= {arXiv preprint arXiv:1509.03713},
year = {2015}
}
Comments
29 pages, 2 figures