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

Xiangxing Tao

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: 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 integrability of the second‐order derivative of the solution to the Schrödinger equation on Ω with the Dirichlet boundary condition for n/(n + 1)

Date: 2014
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https://doi.org/10.1155/2014/216867

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:216867

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