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

Xiangxing Tao

Abstract and Applied Analysis, 2014, vol. 2014, 1-10

Abstract:

Let be a nonsmooth convex domain and let be a distribution in the atomic Hardy space ; we study the Schrödinger equations in with the singular potential and the nonsmooth coefficient matrix . We will show the existence of the Green function and establish the integrability of the second-order derivative of the solution to the Schrödinger equation on with the Dirichlet boundary condition for . Some fundamental pointwise estimates for the Green function are also given.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:216867

DOI: 10.1155/2014/216867

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