A linearized instability result for solitary waves

Orlando Lopes

doi:10.3934/dcds.2002.8.115

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2002, Volume 8, Issue 1: 115-119. Doi: 10.3934/dcds.2002.8.115

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A linearized instability result for solitary waves

Orlando Lopes^1,

1.
Departamento de Matematica - IMECC, UNICAMP, C.P. 6065, Campinas, SP

Received: February 28, 2001

Revised: May 31, 2001

Published: December 2001

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Abstract

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:

Solitary waves,
linearization,
instability.

Mathematics Subject Classification: 35Q.

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