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Inverse problems for parabolic equations with interior degeneracy and Neumann boundary conditions
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Veröffentlicht/Copyright:
21. Mai 2015
Abstract
We consider a parabolic problem with degeneracy in the interior of the spatial domain and we focus on the well-posedness of the problem and on inverse source problems. The novelties of the present paper are two. First, the degeneracy point is in the interior of the spatial domain. Second, we consider Neumann boundary conditions so that no previous result can be adapted to this situation.
Received: 2014-4-14
Revised: 2015-2-9
Accepted: 2015-4-13
Published Online: 2015-5-21
Published in Print: 2016-6-1
© 2016 by De Gruyter
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Artikel in diesem Heft
- Frontmatter
- Inverse scattering problem for the nonstationary Dirac equation on the half-plane
- A Radon-type transform arising in photoacoustic tomography with circular detectors
- Recovery of the matrix quadratic differential pencil from the spectral data
- The effect of resonance on the linear sampling method
- Inverse problems for parabolic equations with interior degeneracy and Neumann boundary conditions
- Incorporating a posteriori error estimators in an adaptive parametrization algorithm
- Generalized sensitivity functions for size-structured population models
- Stable gradient projection method for nonlinear conditionally well-posed inverse problems
- Uniqueness and non-uniqueness in acoustic tomography of moving fluid
- Convex Tikhonov regularization in Banach spaces: New results on convergence rates
- Calderón problem for Maxwell's equations in two dimensions
Schlagwörter für diesen Artikel
Degenerate equations;
interior degeneracy;
Carleman estimates;
inverse problems
Artikel in diesem Heft
- Frontmatter
- Inverse scattering problem for the nonstationary Dirac equation on the half-plane
- A Radon-type transform arising in photoacoustic tomography with circular detectors
- Recovery of the matrix quadratic differential pencil from the spectral data
- The effect of resonance on the linear sampling method
- Inverse problems for parabolic equations with interior degeneracy and Neumann boundary conditions
- Incorporating a posteriori error estimators in an adaptive parametrization algorithm
- Generalized sensitivity functions for size-structured population models
- Stable gradient projection method for nonlinear conditionally well-posed inverse problems
- Uniqueness and non-uniqueness in acoustic tomography of moving fluid
- Convex Tikhonov regularization in Banach spaces: New results on convergence rates
- Calderón problem for Maxwell's equations in two dimensions
