An inverse problem for a time-dependent Schrödinger operator in an unbounded strip

DOI10.1016/j.crma.2012.10.006zbMath1255.35186OpenAlexW1992901268MaRDI QIDQ1759419

Laure Cardoulis

Publication date: 20 November 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2012.10.006

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Inverse problems for PDEs (35R30) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (2)

CONTROL AND STABILIZATION OF THE NONLINEAR SCHRÖDINGER EQUATION ON RECTANGLES ⋮ Logarithmic stability for a coefficient inverse problem of coupled Schrödinger equations

Cites Work

• Identification of two independent coefficients with one observation for the Schrödinger operator in an unbounded strip
• Stability estimate in an inverse problem for non-autonomous magnetic Schrödinger equations
• Carleman estimates for the non-stationary Lamé system and the application to an inverse problem
• Simultaneous identification of the diffusion coefficient and the potential for the Schrödinger operator with only one observation
• Uniqueness and stability in an inverse problem for the Schr dinger equation
• Inverse problem for the Schrödinger operator in an unbounded strip

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