论文标题
热弹性dirichlet到neumann地图的热量渐近膨胀
Asymptotic Expansion of the Heat Trace of the Thermoelastic Dirichlet-to-Neumann map
论文作者
论文摘要
本文致力于研究与Doundary的Riemannian歧管上的热弹性方程的Dirichlet到Neumann图的热痕迹的渐近膨胀。通过提供一种方法,我们可以获得渐近扩展的所有系数。特别是,我们明确地给出了涉及体积和边界的总平均曲率的前两个系数。
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.