Seminario

Seminario Análisis y Aplicaciones

Almost Everywhere Convergence Along Tangential Curves for the Schrödinger Equation

Ponente:  Javier Minguillón (Universidad Autónoma de Madrid)
Fecha:  viernes 30 de mayo de 2025 - 11:30
Lugar:  Aula 520, Módulo 17, Departamento de Matemáticas, UAM

Resumen:

The almost everywhere convergence to the initial datum for the Linear Schrödinger Equation was resolved (up to the endpoint) through a decades-long process involving contributions from many researchers. While significant progress has been made in recent years regarding tangential convergence, several questions remain open.
In this talk, we revisit some of the most relevant results concerning both non-tangential and tangential convergence. Additionally, we present an overview of a relatively simple proof of tangential convergence along α-Hölder curves for 1/2 ≤ α ≤ 1.