On the \(H^p\)-boundary value problems for Schrödinger equation in non-smooth domains
type: Item
instance of: scholarly article
zbMATH Open document ID: 1030.35030
author: Silei Wang
author: Xiangxing Tao
publication date: 2002-02-14T00:00:00Z
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 42B25
Mathematics Subject Classification ID: 42B30
zbMATH DE Number: 1663622
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: Hardy space
zbMATH Keywords: special Lipschitz domain
zbMATH Keywords: singular potential
MaRDI profile type: Publication
Recommended article: On the non-homogeneous boundary value problem for Schrödinger equations
Recommended article: Q3836677
Recommended article: The boundedness in \(H^s(\Omega)\) for a class of nonlinear Schrödinger equations
Recommended article: Noncontinuous data boundary value problems for Schrödinger equation in Lipschitz domains
Recommended article: Q4521065
Recommended article: On the initial-boundary value problems for nonlinear Schrödinger equations
Recommended article: On an initial-boundary value problem for a class of nonlinear schrödinger equations
Recommended article: A note on nonlocal boundary value problems for hyperbolic Schrödinger equations
Recommended article: Q5376238
Recommended article: On smooth solutions to the initial-boundary value problem for the nonlinear schrödinger equation in two space dimensions
title: On the \(H^p\)-boundary value problems for Schrödinger equation in non-smooth domains
published in: Chinese Annals of Mathematics. Series A
review text: 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.
reviewed by: Dachun Yang
description: scientific article; zbMATH DE number 1663622