Gradient estimates and the fundamental solution for higher-order elliptic systems with lower-order terms

2022/10/17 by Ariel Barton, Barton, Ariel, Michael Duffy +1
Computer Science · Mathematics · #35C15 #35J08 (Primary) 35A23 #35J48 (Secondary) #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2210.09207

openalex publication_date 2022/10/17 · openalex created_date 2022/10/20 · openalex updated_date 2026/08/01

Abstract

We establish the Caccioppoli inequality, a reverse Hölder inequality in the spirit of the classic estimate of Meyers, and construct the fundamental solution for linear elliptic differential equations of order 2m with certain lower order terms.

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