Mapping properties of geometric elliptic operators in conformally conical spaces: an introduction with examples
Differential Geometry
2022-07-07 v1 Analysis of PDEs
Abstract
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.
Keywords
Cite
@article{arxiv.2207.02568,
title = {Mapping properties of geometric elliptic operators in conformally conical spaces: an introduction with examples},
author = {Levi Lopes de Lima},
journal= {arXiv preprint arXiv:2207.02568},
year = {2022}
}
Comments
20 pages, no figures