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Browsing by Author "Kawashima, Shuichi"

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    The initial value problem for some hyperbolic-dispersive system
    (2012-01-30)
    Kawashima, Shuichi
    ;
    Lin, Chi-Kun
    ;
    Segata, Jun-ichi
    ;
    應用數學系
    ;
    數學建模與科學計算所(含中心)
    We consider the initial value problem for some nonlinear hyperbolic-dispersive systems in one space dimension. Combining the classical energy method and the smoothing estimates for the Airy equation, we guarantee the time local well-posedness for this system. We also discuss the extension of our results to more general hyperbolic-dispersive system. Copyright (C) 2011 John Wiley & Sons, Ltd.