ON THE SUPPORT OF SOLUTIONS TO THE NLS-KDV SYSTEM

摘要

It is shown that if (u; v) is a sufficiently smooth solution of the initial value problem associated with the Schrodinger-Korteweg-de Vries system such that there exist a, b ∈ R with supp u(t_j) ? (a,∞) (or(-∞, a)) and supp v(t_j) ? (b,∞) (or (-∞, b)), for j = 1, 2 (t_1 ≠ t_2), then u ≡ v ≡ 0.