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Relaxation approximation of the Kerr model for the impedance initial-boundary value problem

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  • The Kerr-Debye model is a relaxation of the nonlinear Kerr model in which the relaxation coefficient is a finite response time of the nonlinear material. We establish the convergence of the Kerr-Debye model to the Kerr model when this relaxation coefficient tends to zero.
    Mathematics Subject Classification: 35L50, 35Q60.


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