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Record Nr. |
UNINA9910788955003321 |
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Autore |
Lorenzi A. |
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Titolo |
Identification problems of wave phenomena : theory and numerics / / S.I. Kabanikhin and A. Lorenzi |
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Pubbl/distr/stampa |
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Utrecht, the Netherlands : , : VSP, , 1999 |
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ISBN |
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Edizione |
[Reprint 2014] |
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Descrizione fisica |
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1 online resource (352 pages) |
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Collana |
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Inverse and ill-posed problems series |
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Disciplina |
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Soggetti |
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Wave equation |
Waves - Mathematics |
Nonlinear wave equations |
Inverse problems (Differential equations) |
Volterra equations |
Number theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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Frontmatter -- Contents -- Introduction -- Chapter 1. Statements of the direct and inverse problems. Examples -- Chapter 2. Volterra operator equations -- Chapter 3. Inverse problems for Maxwell's equations -- Chapter 4. Linearization and Newton - Kantorovich method -- Chapter 5. The Gel'fand - Levitan Method -- Chapter 6. Regularization -- Chapter 7. The method of the optimal control -- Chapter 8. Inversion of finite-difference schemes -- Chapter 9. Strongly ill-posed problems -- Chapter 10. Identification problems related to first-order scalar semilinear equations -- Chapter 11. An identification problem for a first-order integro-differential equation -- Chapter 12. An inverse hyperbolic integro-differential problem arising in Geophysics -- Chapter 13. Integro-differential identification problems related to the one-dimensional wave equation -- Chapter 14. Lavrent'ev regularization of solutions to linear integro-differential inverse problems -- Chapter 15. A stability result for the identification of a nonlinear term in a semilinear hyperbolic integro-differential equation -- Chapter 16. Inverse problems in Electromagnetoelasticity -- Bibliography |
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