Tuesday, September 15, 2026 — 11:00 am — laboratorio M0.1, edificio Matematica
Strichartz estimates and well-posedness for a Schrödinger equation with a nonlinear Neumann condition
Abstract: I will discuss dispersive estimates for a Schrödinger equation in the half-space with a nonlinear Neumann boundary interaction driven by the Bessel operator with parameter $-1<a<1$. One interesting aspect of this problem is that it is equivalent to a nonlocal Cauchy problem with memory for the fully fractional Schrödinger operator. Applications to well-posedness in the mass-critical and subcritical settings will be given. Joint work with Gigliola Staffilani.