Article
Licensed
Unlicensed
Requires Authentication
Inverse problem for the Schrödinger operator in an unbounded strip
-
L. Cardoulis
Published/Copyright:
May 9, 2008
Abstract
We consider the operator H := i∂t + ∇ . (c∇) in an unbounded strip Ω in ℝ2, where 
. We prove an adapted 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).
Received: 2007-01-25
Published Online: 2008-05-09
Published in Print: 2008-March
© de Gruyter 2008
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- The multidimensional refinement indicators algorithm for optimal parameterization
- Inverse problem for the Schrödinger operator in an unbounded strip
- Identification of two memory kernels in a fully hyperbolic phase-field system
- A priori weighting for parameter estimation
- On reduction of informational expenses in solving ill-posed problems with not exactly given input data
Articles in the same Issue
- The multidimensional refinement indicators algorithm for optimal parameterization
- Inverse problem for the Schrödinger operator in an unbounded strip
- Identification of two memory kernels in a fully hyperbolic phase-field system
- A priori weighting for parameter estimation
- On reduction of informational expenses in solving ill-posed problems with not exactly given input data
