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Fluctuations of the nth return time for Axiom A diffeomorphisms
Instability of bound states for 2D nonlinear Schrödinger equations
1. | Department of Mathematical Sciences, Yokohama City University, Seto 22-2, 236-0027, Japan |
$iu_t+\Delta u+|u|^{p-1}u=0\quad$ for $x\in \mathbb R^2$
and $t>0$, where $(r,\theta)$ are polar coordinates and $m\in\mathbb N$. Using the Evans function, we prove linear instability of standing wave solutions with nodes in the case where $p>3$.
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