Inverse Problem for the Schrödinger Equation in Dimension 3

Fagueye Ndiaye and Dimitri Mugnai

Journal of Mathematics, 2022, vol. 2022, 1-8

Abstract: In this paper, we consider the Schrödinger equation in the unit ball in ℠3. We study the inverse problem of identifying the potential q from the Dirichlet to Neumann map which associates to all possible functions f on the boundary ∂B and the measurements of the normal derivative of the solution of Schrödinger equation ∂u/∂ν on ∂B. Using spherical harmonics tools, we determine an explicit expression for the potential qx on the edge of the domain from an explicit formula for the Dirichlet to Neumann map in a unit ball in dimension 3. We theoretically and numerically present an example.

Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2022/2935392.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2022/2935392.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2935392

DOI: 10.1155/2022/2935392

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().