论文标题
几何椭圆算子在同形的圆锥形空间中的映射特性:介绍带有示例的介绍
Mapping properties of geometric elliptic operators in conformally conical spaces: an introduction with examples
论文作者
论文摘要
在这一主要说明性注释中,我们讨论了Laplacian(和其他几何椭圆运算符)在B.-W.开发的方法之后具有孤立锥形奇异性的空间中的映射特性。 Schulze和合作者。我们的演讲旨在通过描述几何分析中的某些代表性(看似不同的)应用如何从共同的设置中遵循某些代表性(看似不同的)应用来说明这些结果的多功能性。
In this largely expository note, we discuss the mapping properties of the Laplacian (and other geometric elliptic operators) in spaces with an isolated conical singularity following the approach developed by B.-W. Schulze and collaborators. Our presentation aims at illustrating the versatility of these results by describing how certain representative (and seemingly disparate) applications in Geometric Analysis follow from a common setup.