4 papers
Fractional very fast diffusion equations in Lebesgue spaces: uniqueness and smoothing effects
Mohammed-El-Mahdi Boudaoud, Arturo de Pablo, Fernando Quirós
We investigate forward and backward smoothing effects in Lebesgue spaces and for the Cauchy problem associated to the nonlinear and nonlocal fra…
Traveling-wave behavior for Fisher-KPP equations in the hyperbolic space
María del Mar González, Irene Gonzálvez, Fernando Quirós
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…
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…
Large-time behavior in a nonlocal heat equation with absorption. The absorption dominated case with fast decaying initial data
Carmen Cortázar, Fernando Quirós, Noemi Wolanski
We study the large-time behavior of nonnegative solutions to a nonlocal dispersal equation in with an absorption term modeled by , with . The ini…