Dergiler / Turkish Journal of Mathematics / 2007 / Cilt: 31 - Sayı: 3

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

Sayfa
265–302
DOI
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Özet

We solve the unique continuation property: If u is a solution of the higher order nonlinear Schrödinger equation with constant coefficients with t1 < t2 which is sufficiently smooth and such that supp u( . , tj) \subset (a, b), -\infty < a < b < \infty, j = 1, 2, then u \equiv 0.

Abstract

We solve the unique continuation property: If u is a solution of the higher order nonlinear Schrödinger equation with constant coefficients with t1 < t2 which is sufficiently smooth and such that supp u( . , tj) \subset (a, b), -\infty < a < b < \infty, j = 1, 2, then u \equiv 0.

Anahtar kelimeler: Higher order nonlinear Schrödinger equation, unique continuation property