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January  2002, 8(1): 115-119. doi: 10.3934/dcds.2002.8.115

A linearized instability result for solitary waves

Orlando Lopes 1,

1. 

Departamento de Matematica - IMECC, UNICAMP, C.P. 6065, Campinas, SP, Brazil

Received  March 2001 Revised  June 2001 Published  October 2001

In this paper we prove an abstract instability result for the linearized hamiltonian

$\dot u = JEu$

in a Hilbert space $X$ without assuming that $J$ is onto.

Keywords: linearization, instability., Solitary waves.
Mathematics Subject Classification: 35.
Citation: Orlando Lopes. A linearized instability result for solitary waves. Discrete & Continuous Dynamical Systems - A, 2002, 8 (1) : 115-119. doi: 10.3934/dcds.2002.8.115
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