A note on the unique continuation property for Zakharov-Kuznetsov equation

摘要

We prove that if a sufficiently smooth solution to the initial value problem associated with the Zakharov-Kuznetsov equationu(t) + (u(xx) + u(yy))(x) + uu(x) = 0, (x , y) epsilon R-2, t epsilon Ris supported compactly in a nontrivial time interval then it vanishes identically. (C) 2004 Elsevier Ltd. All rights reserved.