You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.
Speaker: Aynur Bulut (Louisiana State University)
“Quantitative blow-up criteria for defocusing energy-supercritical NLS”
Abstract: In this talk, we will present a recent work on quantitative bounds for the defocusing Nonlinear Schr”odinger equation (NLS) in the energy-supercritical regime. In particular, inspired by a recent breakthrough construction of finite-time blow-up solutions for the defocusing equation, we establish a blow-up criteria below the scaling invariant threshold. Our result gives the first generic result distinguishing potential defocusing blow-up phenomena from many of the known examples of blow-up in the focusing setting. The main tools involved include delicate refinements of induction on scales arguments due to Bourgain and Tao, combined with an interpolation argument which allows to break the scaling threshold.
Date: Thursday, March 30, 2023
Time: 16:00 – 17:00, GMT+3.
Place: Zoom
This is an online seminar. To request the event link, please send a message to goncha@fen.bilkent.edu.tr