Inverse Problem for the Schrödinger Operator in an Unbounded Strip

2006/12/19 by Laure Cardoulis, Cardoulis, Laure, Michel Cristofol +3
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.math/0612539

arxiv created 2007/09/13 · arxiv updated 2009/12/01

Abstract

We consider the operator H:= i ∂_t + ∇ ⋅ (c ∇) in an unbounded strip Ω in ℝ², where c(x,y) ∈ C³(Ω). We prove adapted a global Carleman estimate and an energy estimate for this operator. Using these estimates, we give a stability result for the diffusion coefficient c(x,y).

Related

• Simultaneous Identification of the Diffusion Coefficient and the Potential for the Schrödinger Operator with only one Observation
• Stability estimates for an inverse problem for schrodinger operators at high frequencies from arbitrary partial boundary measurements
• Inverse problems for the fourth order Schrödinger equation on a finite domain
• The L^p Carleman estimate and a partial data inverse problem
• Inverse Problems for Ultrahyperbolic Schrödinger Equations