具有Zaremba边界条件的黎曼流形的热容量渐近性
Heat Content Asymptotics for Riemannian manifolds with Zaremba boundary conditions
摘要：
在光滑流形上证明了具有经典Zaremba边界条件的Laplace型算子热含量渐近解的完全渐近展开式的存在性。在这个渐近展开的前三个系数确定的几何不变量;部分信息获得的第四个系数。
英文摘要：
The existence of a full asymptotic expansion for the heat content asymptotics of an operator of Laplace type with classical Zaremba boundary conditions on a smooth manifold is established. The first three coefficients in this asymptotic expansion are determined in terms of geometric invariants; partial information is obtained about the fourth coefficient.
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