works on
nonlocal dirichlet forms 1potential theory 1reproducing kernels 1symmetric jump processes 1weighted dirichlet spaces 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.FA2026

Douglas Weighted Dirichlet Spaces: Analytic and Probabilistic Aspects

Jaouad Bourabiaa, Youssef Elmadani, Abdelouahab Hanine +2

The paper defines Douglas weighted Dirichlet spaces on the unit disk, establishes a boundary representation leading to nonlocal Dirichlet forms, describes reproducing kernel and ca…

math.AP2026

Schauder--Orlicz-Type Estimates for Divergence-Form Elliptic Equations with Lower-Order Terms

Jaouad Bourabiaa, Youssef Elmadani, Abdelouahab Hanine

Schauder Orlicz-type estimates are derived for weak solutions to second-order linear elliptic equations in divergence form with lower-order terms. The Orlicz setting is tr…

math.PR2024

Stochastic Aggregation Diffusion-Equation : Analysis via Dirichlet Forms

Jaouad Bourabiaa, Youssef Elmadani, Abdelouahab Hanine

In this article, we study the stochastic aggregation-diffusion equation with a singular drift represented by a monotone radial kernel. We demonstrate the existence and uniqueness o…