Work

Heat Kernels, Smoothness Estimates and Exponential Decay

Year: 2010

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1004.0193

Authors: Boggess, Albert, Raich, Andrew

Institutions: Arizona State University, Texas A&M University, University of Arkansas at Fayetteville

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: Heat Equations, Boundary Operators and CR Geometry in Complex Analysis

OpenAlex ID: W2949756820

Cites: 11

Cited by:

Related to: 20