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Reconstruction of the support function for inclusion from boundary measurements
Published/Copyright:
September 7, 2013
Abstract
- First we give a formula (procedure) for the reconstruction of the support function for unknown inclusion by means of the Dirichlet to Neumann map. In the procedure we never make use of the unique continuation property or the Runge approximation property of the governing equation. Second we apply the method to a similar problem for the Helmholtz equation.
Published Online: 2013-09-07
Published in Print: 2000-08
© 2013 by Walter de Gruyter GmbH & Co.
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Articles in the same Issue
- CONTENTS
- On the Cauchy problem for a differential equation with unbounded operator coefficients
- Reconstruction of the support function for inclusion from boundary measurements
- Identifiability of distributed parameters in beam-type systems
- The problem of dynamical reconstruction of Dirichlet boundary control in semilinear hyperbolic equations
- An inverse problem related to layered elastic plate
- Necessary and sufficient conditions of convergence of finite-dimensional approximations for L-regularized solutions of operator equations
- Inverse problems for multivelocity transfer equation in the plane-symmetric case
Articles in the same Issue
- CONTENTS
- On the Cauchy problem for a differential equation with unbounded operator coefficients
- Reconstruction of the support function for inclusion from boundary measurements
- Identifiability of distributed parameters in beam-type systems
- The problem of dynamical reconstruction of Dirichlet boundary control in semilinear hyperbolic equations
- An inverse problem related to layered elastic plate
- Necessary and sufficient conditions of convergence of finite-dimensional approximations for L-regularized solutions of operator equations
- Inverse problems for multivelocity transfer equation in the plane-symmetric case
