On the \(H^p\)-boundary value problems for Schrödinger equation in non-smooth domains (Q2749017)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the \(H^p\)-boundary value problems for Schrödinger equation in non-smooth domains |
scientific article; zbMATH DE number 1663622
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the \(H^p\)-boundary value problems for Schrödinger equation in non-smooth domains |
scientific article; zbMATH DE number 1663622 |
Statements
14 February 2002
0 references
Schrödinger equation
0 references
Hardy space
0 references
special Lipschitz domain
0 references
singular potential
0 references
0.93436724
0 references
0.92334676
0 references
0.92244154
0 references
0.91726124
0 references
0.91632146
0 references
0.9109105
0 references
On the \(H^p\)-boundary value problems for Schrödinger equation in non-smooth domains (English)
0 references
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.
0 references
