On certain generalized Hardy's inequalities and applications
Analysis of PDEs
2010-05-25 v2 Differential Geometry
Abstract
We prove certain generalization of Hardy's inequality where the "boundary defining function" is replaced by a polynomial defining a singular algebraic variety. An application is given on the existence of a small time heat trace expansion for a Schr\"odinger operator with mild singularities along this algebraic set.
Keywords
Cite
@article{arxiv.math/0203092,
title = {On certain generalized Hardy's inequalities and applications},
author = {Demetrios A. Pliakis},
journal= {arXiv preprint arXiv:math/0203092},
year = {2010}
}
Comments
32 pages