On the strong instability of standing wave solutions of inhomogeneous NLS equation
by Ke Wang
THESIS
2001
M.Phil. Mathematics
vii, 39 leaves ; 30 cm
Abstract
Based on the invariant set of the Schrodinger flow, we obtained a sufficient condition for the existence of blowup solutions near the standing wave solutions of Inhomogeneous Nonlinear Schrodinger Equation (INLS) with critical or supercritical dimension. Therefore the strong instability of the ground state of INLS equation is proved under some conditions.
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