ON THE DIMENSION OF THE DIVERGENCE SET OF THE OSTROVSKY EQUATION

摘要

We investigate the refined Carleson's problem of the free Ostrovsky equation @@@ {u(t) + partial derivative(3)(x)u + partial derivative(-1)(x) u = 0, @@@ u(x, 0) = f(x), @@@ where (x, t) is an element of R x R and f is an element of H-s (R). We illustrate the Hausdorff dimension of the divergence set for the Ostrovsky equation @@@ alpha 1, U(s) = 1 - 2s, 1/4 <= s <= 1/2.

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