Asymptotic behavior of the Schrödinger-Debye system with refractive index of square wave amplitude

Adan J. Corcho, Juan C. Cordero

We obtain local well-posedness for the one-dimensional Schrödinger-Debye interactions in nonlinear optics in the spaces $L^2\times L^p,1\le p<\infty$. When $p=1$ we show that…