Lucie Baudouin and Jean-Pierre Puel 2002 Inverse Problems 18 1537 doi:10.1088/0266-5611/18/6/307
Uniqueness and stability in an inverse problem for the Schrödinger equation
Lucie Baudouin and Jean-Pierre Puel
Show affiliationsWe study the Schrödinger equation iy' + Δy + qy = 0 in Ω × (0, T) with Dirichlet boundary data y|∂Ω×(0,T) and initial condition y|Ω×{0} and we consider the inverse problem of determining the potential q(x), x 
Ω when ∂y/∂ν|Γ0 ×(0,T) is given. Here Ω is an open-bounded domain of 
N, Γ0 is an open subset of ∂Ω satisfying a suitable geometrical condition and
- PACS
- MSC
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35Q55 NLS-like (nonlinear Schrödinger) equations (See also 37K10)
35A05 General existence and uniqueness theorems
35R30 Inverse problems (undetermined coefficients, etc.) for PDE
- Subjects
- Dates
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Issue 6 (December 2002)
Received 14 June 2002, in final form 26 June 2002
Published 18 October 2002
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Uniqueness and stability in an inverse problem for the Schrödinger equation
Lucie Baudouin and Jean-Pierre Puel 2002 Inverse Problems 18 1537
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