On the Propagation of Regularities in Solutions of the Benjamin-ono Equation
نویسندگان
چکیده
We shall deduce some special regularity properties of solutions to the IVP associated to the Benjamin-Ono equation. Mainly, for datum u0 ∈ H3/2(R) whose restriction belongs to Hm((b,∞)) for some m ∈ Z+, m≥ 2, and b ∈ R we shall prove that the restriction of the corresponding solution u(·, t) belongs to Hm((β ,∞)) for any β ∈R and any t > 0. Therefore, this type of regularity of the datum travels with infinite speed to its left as time evolves.
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