70 citations · 313 across the 31 of their papers we have counts for
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Classical solutions and higher regularity for nonlinear fractional diffusion equations
Juan Luis Vázquez, Arturo de Pablo, Fernando Quirós +1
We study the regularity properties of the solutions to the nonlinear equation with fractional diffusion posed for , , wi…
Finite and infinite speed of propagation for porous medium equations with fractional pressure
Diana Stan, Félix del Teso, Juan Luis Vázquez
We study a porous medium equation with fractional potential pressure: for , and .…
Optimal estimates for Fractional Fast diffusion equations
Juan Luis Vázquez, Bruno Volzone
We obtain a priori estimates with best constants for the solutions of the fractional fast diffusion equation , posed in the whole space with , $0<m\le 1…
Finite difference method for a general fractional porous medium equation
Félix del Teso, Juan Luis Vázquez
We formulate a numerical method to solve the porous medium type equation with fractional diffusion \[ \frac{\partial u}{\partial t}+(-Δ)^{σ/2} (u^m)=0 \] posed for $x\in \mathbb{R}…
Symmetrization for Linear and Nonlinear Fractional Parabolic Equations of Porous Medium Type
Juan Luis Vázquez, Bruno Volzone
We establish symmetrization results for the solutions of the linear fractional diffusion equation and itselliptic counterpart , $h…