J. V'azquez

activity

20082021

most citedHeat equation with dynamical boundary conditions of reactive-diffusive type

70 citations · 313 across the 31 of their papers we have counts for

collaborators

Showing 2013 · math.APShow all

4 papers · 2 filters

math.AP2013

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 $\partial_{t} u + (- Δ)^{σ /2} φ (u) = 0,$ posed for $x \in R^{N}$ , $t > 0$ , wi…

math.AP2013★ 6 cited

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: $\partial_{t} u = \nabla \cdot (u^{m - 1} \nabla p), p = (- Δ)^{- s} u,$ for $m > 1$ , $0 < s < 1$ and $u (x, t) \geq 0$ .…

math.AP2013

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 $u_{t} + (- Δ)^{σ /2} u^{m} = 0$ , posed in the whole space with $0 < σ < 2$ , $0<m\le 1…

math.AP2013★ 5 cited

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 $\partial_{t} u + (- Δ)^{σ /2} u = f$ and itselliptic counterpart $h v + (- Δ)^{σ /2} v = f$ , $h…