A. de Pablo

activity

20102026

most citedNonlocal filtration equations with rough kernels

25 citations · 45 across the 7 of their papers we have counts for

collaborators

Showing 2013Show all

2 papers · 1 filter

math.AP2013★ 11 cited

Nonlocal heat equations: decay estimates and Nash inequalities

Cristina Brändle, Arturo de Pablo

We obtain $L^{q}$ -- $L^{p}$ decay estimates, $1 \leq q < p < \infty$ for solutions of nonlocal heat equations of the form $\partial_{t} u + L u = 0$ . Here $L$ is an integral oper…

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…