The Minimal-Mass Blow-Up Solutions of the Mass-Critical gKdV
| GEOMETRIC PDE SEMINAR | |
| Topic: | The Minimal-Mass Blow-Up Solutions of the Mass-Critical gKdV |
| Speaker: | Shuaglin Shao |
| Affiliation: | Member, School of Mathematics |
| Date: | Tuesday, March 3 |
| Time/Room: | 2:00pm - 3:00pm/S-101 |
Conditional on the scattering conjecture of the mass-critical nonlinear Schrodinger equation in spatial dimension one, we show that there exists a blow-up solution to the mass-critical generalized Korteweg de Vries equation (gKdV) with the minimal mass if the scattering conjecture for gKdV fails; furthermore, we show that this minimal element is almost periodic modulo symmetries. (Joint with Kwon and Visan)