On the Ill-posedness Result for the Bbm Equation
نویسنده
چکیده
We prove that the initial value problem (IVP) for the BBM equation is ill-posed for data in H(R), s < 0 in the sense that the flow-map u0 7→ u(t) that associates to initial data u0 the solution u cannot be continuous at the origin from H(R) to even D′(R) at any fixed t > 0 small enough. This result is sharp.
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