Second-Order Regularity Estimates for Singular Schrödinger Equations on Convex Domains

Let Ω⊂ℝn be a nonsmooth convex domain and let f be a distribution in the atomic Hardy space Hatp(Ω); we study the Schrödinger equations -div⁡(A∇u)+Vu=f in Ω with the singular potential V and the nonsmooth coefficient matrix A. We will show the existence of the Green function and establish the Lp int...

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Bibliographic Details
Main Author: Xiangxing Tao
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/216867
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