3 papers
math.AP2026
Gradual smoothing: strong hypercontractivity and logarithmic Sobolev inequalities
Arturo de Pablo, David Lee, Fernando Quirós +1
We study the possibility of a gradual improvement as time progresses of the regularity of solutions to evolution problems of parabolic type driven by Lévy-type operators, not neces…
math.AP2025
Fractional fast diffusion with initial data a Radon measure
Jorge Ruiz-Cases
We establish a complete Widder Theory for the fractional fast diffusion equation. Our work focuses on nonnegative solutions satisfying a certain integral size condition at infinity…
math.AP2024
Positivity and asymptotic behaviour of solutions to a generalized nonlocal fast diffusion equation
Arturo de Pablo, Fernando Quirós, Jorge Ruiz-Cases
We study the positivity and asymptotic behaviour of nonnegative solutions of a general nonlocal fast diffusion equation, \[\partial_t u + \mathcal{L}φ(u) = 0,\] and the interplay b…