Green function diagonal for a class of heat equations
Mathematical Physics
2011-12-19 v1 math.MP
Abstract
A construction of the heat kernel diagonal is considered as element of generalized Zeta function, that, being meromorfic function, its gradient at the origin defines determinant of a differential operator in a technique for regularizing quadratic path integral. Some classes of explicit expression in the case of finite-gap potential coefficient of the heat equation are constructed.
Keywords
Cite
@article{arxiv.1112.3686,
title = {Green function diagonal for a class of heat equations},
author = {Grzegorz Kwiatkowski and Sergey Leble},
journal= {arXiv preprint arXiv:1112.3686},
year = {2011}
}
Comments
Preliminary results were presented at Fourth Integrability Symposium in Zielona Gora, 30-31.05.2011