Determining the Scalar Potential in a Periodic Quantum Waveguide from the DN Map
We prove logarithmic stability in the determination of the time-dependent scalar potential in a periodic quantum cylindrical waveguide, from the boundary measurements of the solution to the dynamic Schrödinger equation.
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| creator | Choulli, Mourad Kian, Yavar Soccorsi, Eric |
| description | We prove logarithmic stability in the determination of the time-dependent scalar potential in a periodic quantum cylindrical waveguide, from the boundary measurements of the solution to the dynamic Schrödinger equation. |
| doi_str_mv | 10.1007/978-3-319-11406-4_5 |
| format | Book Chapter |
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| fulltext | fulltext |
| identifier | ISSN: 2281-518X |
| ispartof | New Prospects in Direct, Inverse and Control Problems for Evolution Equations, 2014, Vol.10, p.93-105 |
| issn | 2281-518X 2281-5198 |
| language | eng |
| recordid | cdi_hal_primary_oai_HAL_hal_01226921v1 |
| source | Springer Books |
| subjects | Analysis of PDEs Boundary Measurements Cylindrical Waveguide Differential equations Functional analysis & transforms Integral equations Logarithmic Stability Mathematics Periodic Quantum Time-dependent Electric Potential |
| title | Determining the Scalar Potential in a Periodic Quantum Waveguide from the DN Map |
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