Silvino Reyes Farina

collaborators

3 papers

math.AP2025

Local well-posedness for cubic fractional Schrödinger equations with derivatives on the right-hand side

Ahmed Dughayshim, Silvino Reyes Farina, Armin Schikorra

For $s \in (\frac{1}{2}, 1]$ we investigate well-posedness of the equation \[ \left ( i \partial_t + (-Δ)^{s} \right ) u = \left (|D|^{1-2s} |u|^2 \right)\ |D|^{2s-1} u \] under sma…

math.AP2024

On uniqueness for hyperbolic half-wave maps in dimension $d \geq 3$

Silvino Reyes Farina

Half-wave maps appear in the physics literature as the continuum limit of Calogero-Moser spin systems. We obtain a uniqueness result for the Half-Wave Maps equation in dimension $d…

math.AP2024

On wave systems with antisymmetric potential in dimension d >= 4 and well-posedness for (half-)wave maps

Silvino Reyes Farina, Armin Schikorra

We prove a priori estimates for wave systems of the type \[ \partial_{tt} u - Δu = Ω\cdot du + F(u) \quad \text{in $R^{d} \times R$ } \] where $d \geq 4$ and $Ω$ is…

Local well-posedness for cubic fractional Schrödinger equations with derivatives on the right-hand side

On uniqueness for hyperbolic half-wave maps in dimension d≥3

On wave systems with antisymmetric potential in dimension d >= 4 and well-posedness for (half-)wave maps

On uniqueness for hyperbolic half-wave maps in dimension $d \geq 3$