Green function diagonal for a class of heat equations

2011/12/15 by Grzegorz Kwiatkowski, Sergey Leble, Kwiatkowski, Grzegorz +1
Mathematics · Physics and Astronomy · #Differential Equations and Boundary Problems #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical functions and polynomials #Numerical methods in inverse problems #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1112.3686

Preliminary results were presented at Fourth Integrability Symposium in Zielona Gora, 30-31.05.2011

arxiv created 2011/12/15 · openalex publication_date 2011/12/15 · arxiv updated 2011/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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