6 citations · 6 across the 3 of their papers we have counts for
4 papers
Singular solutions for space-time fractional equations in a bounded domain
Hardy Chan, Juan Luis Vázquez, David Gómez-Castro
This paper is devoted to describing a linear diffusion problem involving fractional-in-time derivatives and self-adjoint integro-differential space operators posed in bounded domai…
Evolution Driven by the Infinity Fractional Laplacian
Félix del Teso, Jørgen Endal, Espen R. Jakobsen +1
We consider the evolution problem associated to the infinity fractional Laplacian introduced by Bjorland, Caffarelli and Figalli (2012) as the infinitesimal generator of a non-Brow…
Nonlinear aggregation-diffusion equations with Riesz potentials
Yanghong Huang, Edoardo Mainini, Juan Luis Vázquez +1
We consider an aggregation-diffusion model, where the diffusion is nonlinear of porous medium type and the aggregation is governed by the Riesz potential of order s. The addition o…
The Dirichlet Problem for the fractional p-Laplacian evolution equation
Juan Luis Vázquez
We consider a model of fractional diffusion involving the natural nonlocal version of the -Laplacian operator. We study the Dirichlet problem posed in a bounded domain of ${…