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Decay rates of the solutions of nonlinear dispersive equations

  • Vanilde Bisognin (a1) and Gustavo Perla Menzala (a2)

Abstract

We consider a family of dispersive equations whose simplest representative would be a Benjamin–Bona–Mahony equation with a Burger's type dissipation. The effect of possible unevenness of the bottom surface is considered and our main result gives decay rates of the solutions in Lβ(ℝ) spaces, 2 ≦ β ≦ + ∞.

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