On the Lp-Integrability of Green’s function for Elliptic Operators

On the Lp-Integrability of Green’s function for Elliptic Operators

In this thesis, we discuss some of the results that were proven by Fabes and Stroock in 1984. Our main purpose is to give a self-contained presentation of the proof of this results. The first result is on the existence of a “reverse H ̈older inequality” for the Green’s function. We utilize the work...

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Bibliographic Details
Main Author: Alharbi, Abdulrahman
Other Authors: Gomes, Diogo A.
Language:en
Published: 2019
Subjects:
Green's Functions
non-divergence form
Fabes-Stroock
ABP Estimate
Muckenhoupt Weights
Online Access:Alharbi, A. (2019). On the Lp-Integrability of Green’s function for Elliptic Operators. KAUST Research Repository. https://doi.org/10.25781/KAUST-71531
http://hdl.handle.net/10754/655516

Internet

Alharbi, A. (2019). On the Lp-Integrability of Green’s function for Elliptic Operators. KAUST Research Repository. https://doi.org/10.25781/KAUST-71531
http://hdl.handle.net/10754/655516

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