| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1705431 | Applied Mathematical Modelling | 2009 | 9 Pages |
Abstract
Variational methods are used to prove that the solution of the quasilinear Schrödinger equationiut+uxx+|u|p-2u+(|u|2)xxu=0,u|t=0=u0(x),x∈Rmust blow up in a finite time for suitable initial data with positive initial energy and some restrictions on p . Then using this we prove that the standing wave is H1(R)H1(R) strongly unstable with respect to the quasilinear Schrödinger equation.
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Computational Mechanics
Authors
Jianqing Chen, Boling Guo,