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.
Citation
Xiangxing Tao. "Second-Order Regularity Estimates for Singular Schrödinger Equations on Convex Domains." Abstr. Appl. Anal. 2014 (SI57) 1 - 10, 2014. https://doi.org/10.1155/2014/216867
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