Theoretical Analysis of the Magnetic Cloaking Problem Based on an Optimization Method
| Autor: | Yu. E. Spivak, Gennady Alekseev |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Partial differential equation
General Mathematics 010102 general mathematics Stability (learning theory) Cloaking Inverse problem Cloaking device 01 natural sciences 010101 applied mathematics Ordinary differential equation Obstacle Applied mathematics Uniqueness 0101 mathematics Analysis Mathematics |
| Zdroj: | Differential Equations. 54:1125-1136 |
| ISSN: | 1608-3083 0012-2661 |
| DOI: | 10.1134/s001226611809001x |
| Popis: | Control problems are considered for a model of magnetic scattering on a permeable anisotropic obstacle shaped as a spherical layer. Such problems arise in developing technologies for designing magnetic cloaking devices when the corresponding inverse problems are solved by an optimization method. The solvability of the direct and extremal problems for the model in question is proved and the optimality system is derived. Its analysis permits obtaining sufficient conditions on the initial data which ensure the local uniqueness and stability of the optimal solutions. |
| Databáze: | OpenAIRE |
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