Inverse problem for the Schrödinger operator in an unbounded strip

DOI10.1515/JIIP.2008.009zbMath1157.35119MaRDI QIDQ5900197

Patricia Gaitan, Laure Cardoulis, Michel Cristofol

Publication date: 11 August 2008

Published in: Journal of Inverse and Ill-posed Problems (Search for Journal in Brave)

zbMATH Keywords

inverse problemSchrödinger operatorCarleman estimate

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) General theory of partial differential operators (47F05) A priori estimates in context of PDEs (35B45) Schrödinger operator, Schrödinger equation (35J10)

Related Items (11)

The variational formulation of an inverse problem for multidimensional nonlinear time-dependent Schrödinger equation ⋮ Variational method for the solution of an inverse problem ⋮ Inverse problems for the fourth order Schrödinger equation on a finite domain ⋮ Biological invasions: Deriving the regions at risk from partial measurements ⋮ Carleman inequalities and inverse problems for the Schrödinger equation ⋮ Lipschitz stability in an inverse problem for the Korteweg-de Vries equation on a finite domain ⋮ An inverse problem for a time-dependent Schrödinger operator in an unbounded strip ⋮ Identification of two independent coefficients with one observation for the Schrödinger operator in an unbounded strip ⋮ Stability of diffusion coefficients in an inverse problem for the Lotka-Volterra competition system ⋮ Inverse problems for the phase field system with one observation ⋮ Stability estimate in an inverse problem for non-autonomous magnetic Schrödinger equations

Cites Work

• Unnamed Item
• Geometrically induced discrete spectrum in curved tubes
• Inverse conductivity problem in the infinite slab
• Carleman estimates for the non-stationary Lamé system and the application to an inverse problem
• Inverse problems and Carleman estimates
• Special section: Inverse problems in underwater acoustics
• Identification of the size, proportions and location of a soft body of revolution in a shallow-water waveguide
• Uniqueness and stability in an inverse problem for the Schr dinger equation
• Lipschitz stability of an inverse problem for an acoustic equation
• On a global estimate in a linear inverse hyperbolic problem
• Bound states in curved quantum layers

This page was built for publication: Inverse problem for the Schrödinger operator in an unbounded strip