We consider the problem of identifying the potential in the one-dimensional Schrödinger equation with input Dirichlet data, from measured Neumann data. Knowledge of the Dirichlet to Neumann map together with spectral controllability results for the Schrödinger equation obtained using properties of exponential Riesz bases allow recovery of the spectral data. Once the the spectral data is recovered, we use the Boundary Control method to solve the identification problem.
Editor-in-Chief: Kabanikhin, Sergey I.
6 Issues per year
IMPACT FACTOR 2011: 0.432
Mathematical Citation Quotient 2011: 0.40
Issues
Volume 21 (2013)
Volume 20 (2012)
Volume 19 (2011)
Volume 18 (2011)
Volume 17 (2009)
Volume 16 (2008)
Volume 15 (2007)
Volume 14 (2006)
Volume 13 (2005)
Volume 12 (2004)
Volume 11 (2003)
Volume 7 (1999)
Volume 6 (1998)
Volume 5 (1997)
Volume 4 (1996)
Volume 3 (1995)
Volume 2 (1994)
Most Downloaded Articles
- Masthead
- Conference announcement “Inverse and Ill-Posed Problems of Mathematical Physics” dedicated to the 80th birthday of Academician M. M. Lavrentiev
- Masthead
- Chemnitz Symposium on Inverse ProblemsChemnitz, Germany, September 27–28, 2007 by Hofmann, B.
- The inverse spectral problem for the Sturm–Liouville operator with discontinuous potential by Sedipkov, Aydys A.
Determining the potential in the Schrödinger equation from the Dirichlet to Neumann map by the boundary control method
∗Department of Mathematical Sciences, University of Alaska, Fairbanks, AK 99775-6660. E-mail: ffsaa@uaf.edu
†Department of Mathematics, University of Tennessee, Knoxville, TN 37996–1300
‡Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831–6016
Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 13, Issue 4, Pages 317–330, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: 10.1515/156939405775201718,
Publication History:
- Published Online:
Comments (0)