Strong Instability of Ground States to a Fourth Order Schrödinger Equation

Abstract : In this note, we prove the instability by blow-up of the ground state solutions for a class of fourth order Schrödinger equations. This extends the first rigorous results on blowing-up solutions for the biharmonic nonlinear Schrödinger due to Boulenger and Lenzmann [8] and confirm numerical conjectures from [1–3, 11].
Document type :
Journal articles
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-01665513
Contributor : Jean-Baptiste Casteras <>
Submitted on : Saturday, December 16, 2017 - 7:36:00 AM
Last modification on : Sunday, December 23, 2018 - 1:52:02 PM

Links full text

Identifiers

Collections

Citation

Jean-Baptiste Casteras, Denis Bonheure, Tianxiang Gou, Louis Jeanjean. Strong Instability of Ground States to a Fourth Order Schrödinger Equation. International Mathematics Research Notices, Oxford University Press (OUP), 2017, rnx273, ⟨10.1093/imrn/rnx273⟩. ⟨hal-01665513⟩

Share

Metrics

Record views

143