THE INVERSE PROBLEM FOR A SPECTRAL ASYMMETRY FUNCTION OF THE SCHRÖDINGER OPERATOR ON A FINITE INTERVAL

B. Malcolm Brown; Karl Michael Schmidt; Stephen P. Shipman; Ian Wood

doi:10.1112/mtk.12105

THE INVERSE PROBLEM FOR A SPECTRAL ASYMMETRY FUNCTION OF THE SCHRÖDINGER OPERATOR ON A FINITE INTERVAL

Mathematika ◽

10.1112/mtk.12105 ◽

2021 ◽

Vol 67 (4) ◽

pp. 788-806

Author(s):

B. Malcolm Brown ◽

Karl Michael Schmidt ◽

Stephen P. Shipman ◽

Ian Wood

Keyword(s):

Inverse Problem ◽

Schrödinger Operator ◽

Finite Interval ◽

Schrodinger Operator ◽

Asymmetry Function ◽

Spectral Asymmetry

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Inverse Problems & Imaging ◽

10.3934/ipi.2018034 ◽

2018 ◽

Vol 12 (3) ◽

pp. 801-830 ◽

Cited By ~ 1

Author(s):

Sombuddha Bhattacharyya ◽

Keyword(s):

Inverse Problem ◽

Riemannian Manifolds ◽

Schrödinger Operator ◽

Boundary Data ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator

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Comptes Rendus Mathematique ◽

10.1016/j.crma.2012.10.006 ◽

2012 ◽

Vol 350 (19-20) ◽

pp. 891-896 ◽

Cited By ~ 1

Author(s):

Laure Cardoulis

Keyword(s):

Inverse Problem ◽

Schrödinger Operator ◽

Time Dependent ◽

Schrodinger Operator

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Journal of the Egyptian Mathematical Society ◽

10.1016/j.joems.2014.05.007 ◽

2015 ◽

Vol 23 (2) ◽

pp. 271-277 ◽

Cited By ~ 1

Author(s):

Zaki F.A. El-Raheem

Keyword(s):

Spectral Problem ◽

Schrödinger Operator ◽

Inverse Spectral Problem ◽

Finite Interval ◽

Schrodinger Operator ◽

One Dimensional ◽

Inverse Spectral

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Inverse problem for the Schrödinger operator in an unbounded strip

Journal of Inverse and Ill-Posed Problems ◽

10.1515/jiip.2008.009 ◽

2008 ◽

Vol 16 (2) ◽

Cited By ~ 11

Author(s):

L. Cardoulis ◽

M. Cristofol ◽

P. Gaitan

Keyword(s):

Inverse Problem ◽

Schrödinger Operator ◽

Schrodinger Operator

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Global uniqueness for an inverse problem for the magnetic Schrödinger operator

Inverse Problems & Imaging ◽

10.3934/ipi.2011.5.59 ◽

2011 ◽

Vol 5 (1) ◽

pp. 59-73 ◽

Cited By ~ 2

Author(s):

Ru-Yu Lai ◽

Keyword(s):

Inverse Problem ◽

Schrödinger Operator ◽

Schrodinger Operator ◽

Global Uniqueness ◽

Magnetic Schrödinger Operator

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Inverse Problem for the Discrete 1D Schrödinger Operator with Small Periodic Potentials

Communications in Mathematical Physics ◽

10.1007/s00220-005-1429-z ◽

2005 ◽

Vol 261 (3) ◽

pp. 673-692 ◽

Cited By ~ 4

Author(s):

Evgeny Korotyaev ◽

Anton Kutsenko

Keyword(s):

Inverse Problem ◽

Schrödinger Operator ◽

Schrodinger Operator ◽

Periodic Potentials ◽

1D Schrödinger Operator ◽

Small Periodic

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Stability Estimates for an Inverse Problem for the Magnetic Schrödinger Operator

International Mathematics Research Notices ◽

10.1093/imrn/rnv020 ◽

2015 ◽

Vol 2015 (21) ◽

pp. 11083-11116 ◽

Cited By ~ 2

Author(s):

Pedro Caro ◽

Valter Pohjola

Keyword(s):

Inverse Problem ◽

Schrödinger Operator ◽

Stability Estimates ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator

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2D-Schrödinger Operator, (2+1) evolution systems and new reductions, 2D-Burgers hierarchy and inverse problem data

Russian Mathematical Surveys ◽

10.1070/rm2010v065n03abeh004685 ◽

2010 ◽

Vol 65 (3) ◽

pp. 580-582 ◽

Cited By ~ 9

Author(s):

Petr G Grinevich ◽

Andrei E Mironov ◽

Sergei P Novikov

Keyword(s):

Inverse Problem ◽

Schrödinger Operator ◽

Schrodinger Operator ◽

Burgers Hierarchy ◽

Problem Data ◽

Evolution Systems

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The Inverse Problem for a Discrete Periodic Schrodinger Operator

Journal of Mathematical Sciences ◽

10.1007/s10958-006-0104-z ◽

2006 ◽

Vol 134 (4) ◽

pp. 2292-2294

Author(s):

E. Korotyaev ◽

A. Kutsenko

Keyword(s):

Inverse Problem ◽

Schrödinger Operator ◽

Schrodinger Operator ◽

Periodic Schrödinger Operator

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Eigenfunction expansions associated with the Schrödinger operator with a complex potential and the scattering inverse problem

Proceedings of the Japan Academy ◽

10.3792/pja/1195521524 ◽

1967 ◽

Vol 43 (7) ◽

pp. 638-643 ◽

Cited By ~ 10

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Kiyoshi Mochizuki

Keyword(s):

Inverse Problem ◽

Schrödinger Operator ◽

Complex Potential ◽

Schrodinger Operator ◽

Eigenfunction Expansions

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