Kelvin J. R. Sousa

most citedFractional one-sided measure theoretic second-order elliptic operators and applications to stochastic partial differential equations

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.AP2025

One-sided measure theoretic elliptic operators and applications to SDEs driven by Gaussian white noise with atomic intensity

Alexandre B. Simas, Kelvin J. R. Sousa

We define the operator $D_{V}^{+} D_{W}^{-} := Δ_{W, V}$ on the one-dimensional torus $T$ . Here, $W$ and $V$ are functions inducing (possibly atomic) positive Borel measures on $\math…

math.AP2022★ 1 cited

Fractional one-sided measure theoretic second-order elliptic operators and applications to stochastic partial differential equations

Kelvin J. R. Sousa

In this work we introduce and study fractional measure theoretic elliptic operators on the torus and a new stochastic process named W-Brownian motion. We establish some regularity…