Asymptotic Expansion of the Heat Trace of the Thermoelastic Dirichlet-to-Neumann map

Abstract

This paper is devoted to study the asymptotic expansion of the heat trace of the Dirichlet-to-Neumann map for the thermoelastic equation on a Riemannian manifold with doundary. By providing a method we can obtain all the coefficients of the asymptotic expansion. In particular, we explicitly give the first two coefficients involving the volume and the total mean curvature of the boundary.

16 pages. arXiv admin note: text overlap with arXiv:2205.13238

Cited by in corpus (1)

• Determining Lamé coefficients by elastic Dirichlet-to-Neumann map on a Riemannian manifold