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Green function diagonal for a class of heat equations

Grzegorz Kwiatkowski
Sergey Leble
Journal / Anthology

Applied Mathematics and Computation
Year: 2013
Volume: 219
Page range: 60846092

A construction of the heat kernel diagonal is considered as element of generalized zeta function theory, which gradient at the origin defines determinant of a differential operator in a technique for regularizing quadratic path integral. Some classes of explicit expressions of the Green function in the case of finite-gap potential coefficient of the heat equation are constructed. An algorithm and program for Mathematica are presented for a subclass directly linked to hyperelliptic functions.

*Applied Mathematics

Green function, Zeta function, Heat kernel, Finite-gap potential, Elliptic potential