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On decay and asymptotic properties of solutions to the Intermediate Long Wave equation

On decay and asymptotic properties of solutions to the Intermediate Long Wave equation

We consider solutions to the initial value problem associated to the intermediate long wave (ILW) equation. We establish persistence properties of the solution flow in weighted Sobolev spaces, and show that they are sharp. We also deal with the long time dynamics of large solutions to the ILW equation. Using …