Fernando Quir'os

collaborators

3 papers

math.AP2026

Traveling-wave behavior for Fisher-KPP equations in the hyperbolic space

MarÃa del Mar GonzÃ¡lez, Irene GonzÃ¡lvez, Fernando QuirÃ³s

We study the Cauchy problem in the hyperbolic space for the heat equation with a Fisher-KPP type forcing term. Depending on the relative strength of diffusion, measured by the infi…

math.AP2026

Gradual smoothing: strong hypercontractivity and logarithmic Sobolev inequalities

Arturo de Pablo, David Lee, Fernando QuirÃ³s +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 LÃ©vy-type operators, not nece…

math.AP2025

Large-time behavior in a nonlocal heat equation with absorption. The absorption dominated case with fast decaying initial data

Carmen CortÃ¡zar, Fernando QuirÃ³s, Noemi Wolanski

We study the large-time behavior of nonnegative solutions to a nonlocal dispersal equation in $R^{N}$ with an absorption term modeled by $- u^{p}$ , with $1 < p < 1 + \frac{2}{N}$ . The ini…