The Cauchy Problem for Schrödinger-Debye equations

In this article we study the local-in-time Cauchy problem for the Schrödinger-Debye equations. This model occurs in nonlinear optics and describes the non-resonant delayed interaction of an electromagnetic wave with a medium. We extend the study to nonphysical cases such as the three-dimensional case or more general nonlinearities.

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Mathematical Models and Methods in Applied Sciences, 10(3), 307–315 (2000)