论文标题
liouville的公式和Hadamard变化有关一般域扰动
Liouville's formulae and Hadamard variation with respect to general domain perturbations
论文作者
论文摘要
我们研究了有关通用域扰动的Hadamard变化，特别是对于Neumann边界条件。它们源自有关数量和区域积分转换的New Liouville公式。然后，讨论了与几种几何数量的关系。边界上的差分形式和第二个基本形式。
We study Hadamard variations with respect to general domain perturbations, particularly for the Neumann boundary condition. They are derived from new Liouville's formulae concerning the transformation of volume and area integrals. Then, relations to several geometric quantities are discussed; differential forms and the second fundamental form on the boundary.
