Lipschitz continuity and monotone decreasingness of the solution to the BCS gap equation for superconductivity
Mathematical Physics
2017-03-06 v3 Superconductivity
Analysis of PDEs
Functional Analysis
math.MP
Abstract
In the preceding work \cite{watanabe3}, it is shown that the solution to the BCS gap equation for superconductivity is continuous with respect to both the temperature and the energy under the restriction that the temperature is very small. Without this restriction, we show in this paper that the solution is continuous with respect to both the temperature and the energy, and that the solution is Lipschitz continuous and monotonically decreasing with respect to the temperature.
Keywords
Cite
@article{arxiv.1411.7473,
title = {Lipschitz continuity and monotone decreasingness of the solution to the BCS gap equation for superconductivity},
author = {Shuji Watanabe and Ken Kuriyama},
journal= {arXiv preprint arXiv:1411.7473},
year = {2017}
}
Comments
For an revised version of this article, see arXiv:1609.07224