On the \(H^p\)-boundary value problems for Schrödinger equation in non-smooth domains
Let \(D\) be a special Lipschitz domain and \(g\) belong to the atomic Hardy space \(H^p(\partial D)\) for \(p\in ((n-1)/n, 1]\), the authors study the Neumann problem with boundary value \(g\) of the Schrödinger equation on \(D\) with singular potential. To be precise, the authors prove the existence and the uniqueness of the solution of such Neumann problems and obtain the uniformly bounded estimates for the integral of the solutions.
scientific article; zbMATH DE number 1663622