论文标题
混合类型的广义木村操作员
A Mixed Type Generalized Kimura Operator
论文作者
论文摘要
我们在二维紧凑型歧管上分析了一类混合类型的普通木村运算符，并在拓扑绝缘子分析中找到应用。我们对操作员进行建模，并为模型运营商提供退化的Hölder空间类型估计。通过对扰动项的分析，我们确定了解决方案的存在。我们还提供了全球热核的存在和规律性的证明。
We analyze a class of mixed type generalized Kimura operators on 2-dimensional compact manifolds with corners that find applications in the analysis of topological insulators. We model the operator and provide the degenerate Hölder space-type estimates for model operators. With the analysis of perturbation term we establish the existence of solutions. We also give proofs of the existence and regularity of the global heat kernel.
