Low-frequency dispersive estimates for the wave equation in higher dimensions

نویسنده

  • Simon Moulin
چکیده

We prove dispersive estimates at low frequency in dimensions n ≥ 4 for the wave equation for a very large class of real-valued potentials, provided the zero is neither an eigenvalue nor a resonance. This class includes potentials V ∈ L∞(R) satisfying V (x) = O ( 〈x〉−(n+1)/2−ǫ ) , ǫ > 0.

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عنوان ژورنال:
  • Asymptotic Analysis

دوره 60  شماره 

صفحات  -

تاریخ انتشار 2008