On the Unique Continuation Property for the Higher Order Nonlinear Schrödinger Equation With Constant Coefficients

Authors: VANILDE BISOGNIN, OCTAVIO PAULO VERA VILLAGRAN

Abstract: We solve the unique continuation property: If u is a solution of the higher order nonlinear Schrödinger equation with constant coefficients with t_1 < t_2 which is sufficiently smooth and such that supp u( . , t_j) \subset (a, b), -\infty < a < b < \infty, j = 1, 2, then u \equiv 0.

Keywords: Higher order nonlinear Schrödinger equation, unique continuation property

Full Text: PDF