2021
DOI: 10.48550/arxiv.2101.02186
|View full text |Cite
Preprint
|
Sign up to set email alerts
|

Computability of magnetic Schrödinger and Hartree equations on unbounded domains

Abstract: We study the computability of global solutions to linear Schrödinger equations with magnetic fields and the Hartree equation on R 3 . We show that the solution can always be globally computed with error control on the entire space if there exist a priori decay estimates in generalized Sobolev norms on the initial state. Using weighted Sobolev norm estimates, we show that the solution can be computed with uniform computational runtime with respect to initial states and potentials. We finally study applications … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Publication Types

Select...

Relationship

0
0

Authors

Journals

citations
Cited by 0 publications
references
References 10 publications
0
0
0
Order By: Relevance

No citations

Set email alert for when this publication receives citations?