N. Faustino

activity

20062026

most citedFischer Decomposition for Difference Dirac Operators

29 citations · 122 across the 17 of their papers we have counts for

collaborators

Showing math.APShow all

4 papers · 1 filter

math.AP2026

Gauge Transforms and Strichartz Estimates for Benjamin--Ono-Type Dirac Equations

Nelson Faustino

For $T > 0$ , we consider the Benjamin--Ono-type Dirac equation $i \partial_{t} ψ (x, t) + D (- Δ)^{\frac{1}{2}} ψ (x, t) = D G (ψ (x, t)), (x, t) \in R^{n} \times [0, T],$ where $(-Δ)…

math.AP2022

Structurally damped $σ -$ evolution equations with power-law memory

Nelson Faustino, Jorge Marques

We consider an integro-differential counterpart of the $σ -$ evolution equation of the type \[ \partial_t^2 u(t,x)+μ(-Δ)^{\fracσ{2}} \partial_t u(t,x)+(-Δ)^σu(t,x)=f(t,x), \] with $σ…

math.AP2021★ 4 cited

On fractional semidiscrete Dirac operators of Lévy-Leblond type

Nelson Faustino

In this paper we introduce a wide class of space-fractional and time-fractional semidiscrete Dirac operators of Lévy-Leblond type on the semidiscrete space-time lattice $h\mathbb{Z…

math.AP2021★ 3 cited

On Fundamental Solutions of Higher-Order Space-Fractional Dirac equations

Nelson Faustino

Starting from the pseudo-differential decomposition $D = (- Δ)^{\frac{1}{2}} H$ of the Dirac operator $\displaystyle \mathbf{D}=\sum_{j=1}^n\mathbf{e}_j\partial_{x_j…

Gauge Transforms and Strichartz Estimates for Benjamin--Ono-Type Dirac Equations

Structurally damped σ−evolution equations with power-law memory

On fractional semidiscrete Dirac operators of Lévy-Leblond type

On Fundamental Solutions of Higher-Order Space-Fractional Dirac equations

Structurally damped $σ -$ evolution equations with power-law memory