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Article Dans Une Revue Advances in Differential Equations Année : 1998

On the Cauchy problem for some systems occurring in nonlinear optics

Résumé

We study the Cauchy problem for two systems of equations (Maxwell-Debye and Maxwell-Bloch) describing laser-matter interaction phenomena. We show that these problems are locally in time well-posed for initial data in different Sobolev spaces. In the case of Maxwell-Debye system, which contains some delay term, we study the limit of the solutions when this delay tends to 0. We also consider an adiabatic approximation of Maxwell-Bloch system.

Dates et versions

hal-00319986 , version 1 (09-09-2008)

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Brigitte Bidégaray. On the Cauchy problem for some systems occurring in nonlinear optics. Advances in Differential Equations, 1998, 3, pp.473-496. ⟨10.57262/ade/1366399850⟩. ⟨hal-00319986⟩
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