15 citations · 24 across the 10 of their papers we have counts for
12 papers
The Cauchy problem for the fast Laplacian evolution equation. Characterization of the global Harnack principle and fine asymptotic behaviour
Matteo Bonforte, Nikita Simonov, Diana Stan
We study fine global properties of nonnegative solutions to the Cauchy Problem for the fast -Laplacian evolution equation on the whole Euclidean space, in the so-cal…
Discrete Carleman estimates and three balls inequalities
Aingeru Fernández-Bertolin, Luz Roncal, Angkana Rüland +1
We prove logarithmic convexity estimates and three balls inequalities for discrete magnetic Schrödinger operators. These quantitatively connect the discrete setting in which the un…
Carleman type inequalities for fractional relativistic operators
Luz Roncal, Diana Stan, Luis Vega
In this paper we derive Carleman estimates for the fractional relativistic operator. We consider changing-sign solutions to the heat equation for such operators. We prove monotonic…
Porous medium equation with nonlocal pressure
Diana Stan, Félix del Teso, Juan Luis Vázquez
We provide a rather complete description of the results obtained so far on the nonlinear diffusion equation , which describes a flow thr…
Asymptotic behaviour of solutions to fractional diffusion-convection equations
Liviu Ignat, Diana Stan
We consider a convection-diffusion model with linear fractional diffusion in the sub-critical range. We prove that the large time asymptotic behavior of the solution is given by th…
Existence of weak solutions for a general porous medium equation with nonlocal pressure
Diana Stan, Félix del Teso, Juan Luis Vázquez
We study the general nonlinear diffusion equation that describes a flow through a porous medium which is driven by a nonlocal pressure.…