Strong Instability of Ground States to a Fourth Order Schrodinger Equation

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TitreStrong Instability of Ground States to a Fourth Order Schrodinger Equation
Type de publicationJournal Article
Year of Publication2019
AuteursBonheure D, Casteras J-B, Gou T, Jeanjean L
JournalINTERNATIONAL MATHEMATICS RESEARCH NOTICES
Volume2019
Pagination5299-5315
Date PublishedSEP
Type of ArticleArticle
ISSN1073-7928
Résumé

In this note, we prove the instability by blow-up of the ground state solutions for a class of fourth order Schrodinger equations. This extends the first rigorous results on blowing-up solutions for the biharmonic nonlinear Schrodinger due to Boulenger and Lenzmann [8] and confirm numerical conjectures from [1-3, 11].

DOI10.1093/imrn/rnx273