Avraham Soffer – Rutgers University
Date/Time/Location
Thursday, November 13th, 2025, 12:10 pm; Hill Center 705
Global Self-Similar solutions, Breakdown of Asymptotic Completeness-New Physics?
For Schrödinger-type equations with time-dependent, spatially local interactions — including nonlinear cases — there exist solutions that are neither localized nor scattering. These solutions exhibit sub-ballistic spreading, yet are global, asymptotically stable, and transport mass (the L^2-norm) to infinity. I will describe the construction of such self-similar solutions and discuss some of their physical implications.