Heat Kernels, Smoothness Estimates and Exponential Decay
Complex Variables
2014-06-26 v1 Analysis of PDEs
Abstract
In this article, we establish Gaussian decay for the Box_b-heat kernel on polynomial models in C^2. Our technique attains the exponential decay via a partial Fourier transform. On the transform side, the problem becomes finding quantitative smoothness estimates on a heat kernel associated to the weighted dbar-operator on L^2(C). The bounds are established with Duhamel's formula and careful estimation.
Cite
@article{arxiv.1004.0193,
title = {Heat Kernels, Smoothness Estimates and Exponential Decay},
author = {Albert Boggess and Andrew Raich},
journal= {arXiv preprint arXiv:1004.0193},
year = {2014}
}
Comments
25 pages