Analysis and Applied Mathematics Seminar
John Albert
University of Oklahoma
On the variational properties of KdV multisolitons
Abstract: We characterize 2-soliton solutions of the Korteweg-de Vries equation as global minimizers for a constrained
variational problem. In particular this gives a nice proof of their stability. The proof uses the so-called profile
decomposition or bubble decomposition of a bounded sequence in Sobolev space.
Monday October 29, 2018 at 4:00 PM in 636 SEO