Global Solvability of the Anharmonic Oscillator Model from Nonlinear Optics
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چکیده
The eld equations describing the propagation of electromagnetic waves in a nonlinear dielectric medium whose polarization responds locally to the electric eld as an anharmonic oscillator with potential V (P) have smooth solutions global in space and time for arbitrary smooth initial data as soon as V has bounded derivatives of order less than or equal to three. This is true in spite of the fact that solutions of the nonlinear Shrr odinger equation which approximate the elds in the slowly varying envelope approxiamation may blow up in nite time.
منابع مشابه
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تاریخ انتشار 1996