Francisco J. Fernández

collaborators

2 papers

math.GM2026

Lateral Weak Stieltjes Derivatives: A Global Characterization of Stieltjes--Sobolev Spaces

Weak formulations for Stieltjes differential equations must retain the directional information carried by atoms of the driving measure. We derive a lateral integration-by-parts ide…

math.FA2026

Aubin--Lions Compactness for Stieltjes--Bochner Evolution Graphs

Francisco J. Fernández

Let $g$ be a nondecreasing left-continuous function and let $μ_{g}$ be its Lebesgue--Stieltjes measure. We establish a Banach-valued fundamental theorem of calculus and an Aubin--Lio…