On the Cauchy problem for some systems occurring in nonlinear optics
Bidégaray, Brigitte
HAL, hal-00319986 / Harvested from HAL
Text on HAL
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.
Publié le : 1998-07-05
Classification:  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00319986,
     author = {Bid\'egaray, Brigitte},
     title = {On the Cauchy problem for some systems occurring in nonlinear optics},
     journal = {HAL},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00319986}
}

Bidégaray, Brigitte. On the Cauchy problem for some systems occurring in nonlinear optics. HAL, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/hal-00319986/