Sharp Gaussian estimates for Schrödinger heat kernels: L^p integrability conditions

2015/11/23 by Krzysztof Bogdan, Jacek Dziubański, Bogdan, Krzysztof +3
Computer Science · Mathematics · #35B25 #47D08 #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations #Primary 47D06 #Secondary 35A08

paper · pdf · doi:10.48550/arxiv.1511.07167

openalex publication_date 2015/11/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We give new sufficient conditions for comparability of the fundamental solution of the Schrödinger equation ∂_t=Δ+V with the Gauss-Weierstrass kernel and show that local L^p integrability of V for p> 1 is not necessary for the comparability.

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