Artikel
Lizenziert
Nicht lizenziert
Erfordert eine Authentifizierung
Inverse problems for linear degenerate parabolic equations by “time-like” Carleman estimate
-
Atsushi Kawamoto
Veröffentlicht/Copyright:
2. Juli 2014
Abstract
In this paper, we study inverse problems for multi-dimensional linear degenerate parabolic equations and strongly coupled systems. In particular we discuss the Lipschitz type stability results for the inverse source problems which determine a source term by boundary data on an appropriate sub-boundary and the data on any fixed time. Our arguments are based on the Carleman estimate. Here we prove and use the Carleman estimate with the x-independent weight function for linear degenerate parabolic equations and systems.
Keywords: Carleman estimate; inverse source problem; conditional stability; uniqueness; linear degenerate parabolic equation
The author thanks the anonymous referees and board member for their invaluable comments and detailed corrections.
Received: 2013-4-10
Revised: 2014-3-26
Accepted: 2014-6-14
Published Online: 2014-7-2
Published in Print: 2015-2-1
© 2015 by De Gruyter
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Artikel in diesem Heft
- Frontmatter
- Inverse problems for linear degenerate parabolic equations by “time-like” Carleman estimate
- Spectral problems and scattering on noncompact star-shaped graphs containing finite rays
- Stability estimates for Burgers-type equations backward in time
- A Hölder-logarithmic stability estimate for an inverse problem in two dimensions
- On convergence rates for iteratively regularized Newton-type methods under a Lipschitz-type nonlinearity condition
- Identification of an unknown spatial load distribution in a vibrating cantilevered beam from final overdetermination
Schlagwörter für diesen Artikel
Carleman estimate;
inverse source problem;
conditional stability;
uniqueness;
linear degenerate parabolic equation
Artikel in diesem Heft
- Frontmatter
- Inverse problems for linear degenerate parabolic equations by “time-like” Carleman estimate
- Spectral problems and scattering on noncompact star-shaped graphs containing finite rays
- Stability estimates for Burgers-type equations backward in time
- A Hölder-logarithmic stability estimate for an inverse problem in two dimensions
- On convergence rates for iteratively regularized Newton-type methods under a Lipschitz-type nonlinearity condition
- Identification of an unknown spatial load distribution in a vibrating cantilevered beam from final overdetermination
