Javier Minguillón

collaborators

3 papers

math.CA2026

A higher-dimensional Schrödinger maximal estimate along families of bi-Lipschitz curves

Javier Minguillón

Let $Θ \subset R^{n}$ , $n \geq 1$ be compact with upper Minkowski dimension $β$ , and let $γ (x, t, θ)$ be a family of curves which is bi-Lipschitz in the first variable and Lipsch…

math.CA2026

On the Pointwise Convergence of Solutions to the Schrödinger Equation Along Certain Highly Tangential Curves

Javier Minguillón, Fernando Soria, Ana Vargas

We investigate the Sobolev regularity required for almost everywhere convergence to the initial datum of solutions to the linear Schrödinger equation along certain tangential curve…

math.CA2024

A Note on Almost Everywhere Convergence Along Tangential Curves to the Schrödinger Equation Initial Datum

Javier Minguillón

In this short note, we give an easy proof of the following result: for $n \geq 2,$ $t \to 0 lim e^{i t Δ} f (x + γ (t)) = f (x)$ almost everywhere whenever $γ$ i…