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Inverse problem for the heat equation and the Schrodinger equation on a tree
- Source :
- Inverse Problems, Inverse Problems, 2012, 28, pp.015011, Inverse Problems, IOP Publishing, 2012, 28, pp.015011, BIRD: BCAM's Institutional Repository Data, instname
- Publication Year :
- 2012
- Publisher :
- HAL CCSD, 2012.
-
Abstract
- International audience; In this paper we establish global Carleman estimates for the heat and Schrodinger equations on a network. The heat equation is considered on a general tree and the Schrodinger equation on a star-shaped tree. The Carleman inequalities are used to prove the Lipschitz stability for an inverse problem consisting in retrieving a stationary potential in the heat (resp. the Schrodinger) equation from boundary measurements.
- Subjects :
- Mathematics::Analysis of PDEs
Boundary (topology)
Carleman estimate
01 natural sciences
Stability (probability)
Theoretical Computer Science
Schrödinger equation
symbols.namesake
Tree (descriptive set theory)
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
0101 mathematics
[MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP]
Mathematical Physics
Mathematics
Applied Mathematics
Heat equation
010102 general mathematics
Mathematical analysis
Inverse problem
Lipschitz continuity
Schrodinger equation
Computer Science Applications
010101 applied mathematics
Signal Processing
network
symbols
Schrödinger's cat
Tree
Subjects
Details
- Language :
- English
- ISSN :
- 02665611 and 13616420
- Database :
- OpenAIRE
- Journal :
- Inverse Problems, Inverse Problems, 2012, 28, pp.015011, Inverse Problems, IOP Publishing, 2012, 28, pp.015011, BIRD: BCAM's Institutional Repository Data, instname
- Accession number :
- edsair.doi.dedup.....f0e43d3617887f06759b1a2827cc0b40