Local and global well-posedness of the Maxwell-Bloch system of equations with inhomogeneous broadening
Autor: | Biondini, Gino, Prinari, Barbara, Zhang, Zechuan |
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Rok vydání: | 2024 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | The Maxwell-Bloch system of equations with inhomogeneous broadening is studied, and the local and global well-posedness of the corresponding initial-boundary value problem is established by taking advantage of the integrability of the system and making use of the corresponding inverse scattering transform. A key ingredient in the analysis is the $L^2$-Sobolev bijectivity of the direct and inverse scattering transform established by Xin Zhou for the focusing Zakharov-Shabat problem. Comment: Some typos corrected in the revised version |
Databáze: | arXiv |
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