A simple criterion of transverse linear instability for solitary waves

• Autores: F. Rousset, Nikolay Tzvetkov
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 17, Nº 1, 2010, págs. 157-170
• Idioma: inglés
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• Resumen

  • We prove an abstract instability result for an eigenvalue problem with parameter. We apply this criterion to show the transverse linear instability of solitary waves on various examples from mathematical physics.