Gaussian estimates with best constants for higher-order Schr\"odinger operators with Kato potentials
Analysis of PDEs
2016-03-24 v3
Abstract
We establish Gaussian estimates on the heat kernel of a higher-order uniformly elliptic Schr\"odinger operator with variable highest order coefficients and with a Kato class potential. The estimates involve the sharp constant in the Gaussian exponent.
Keywords
Cite
@article{arxiv.1511.08711,
title = {Gaussian estimates with best constants for higher-order Schr\"odinger operators with Kato potentials},
author = {Gerassimos Barbatis},
journal= {arXiv preprint arXiv:1511.08711},
year = {2016}
}
Comments
9 pages; a mistaken example has been removed; to appear in Proc. Amer. Math. Soc