Potential capacity and applications
Analysis of PDEs
2018-12-12 v1
Abstract
We introduce a new capacity associated to a non negative function V. We apply this notion to the study of a necessary and sufficient condition to ensure the existence and uniqueness of a Schrodinger type equation with measure data and with an operator whose coefficients are discontinuous . Our method is based among others on a new topology and density results.
Cite
@article{arxiv.1812.04061,
title = {Potential capacity and applications},
author = {Jean Michel Rakotoson},
journal= {arXiv preprint arXiv:1812.04061},
year = {2018}
}