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arXiv · 1004.0193

Heat Kernels, Smoothness Estimates and Exponential Decay

Albert Boggess·Andrew Raich
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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.

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Albert Boggess, Andrew Raich. 2010-04-01. Heat Kernels, Smoothness Estimates and Exponential Decay. https://arxiv.org/abs/1004.0193

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