Gluing formulae for heat kernels

2024/03/29 by Pavel Mnëv, Mnev, Pavel, Konstantin Wernli +1
Energy · Engineering · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geothermal Energy Systems and Applications #Heat Transfer and Optimization #Mathematical Physics (math-ph) #Nanofluid Flow and Heat Transfer

paper · pdf · doi:10.48550/arxiv.2404.00156

openalex publication_date 2024/03/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We state and prove two gluing formulae for the heat kernel of the Laplacian on a Riemannian manifold of the form M₁ ∪_γM₂. We present several examples.

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