Now showing items 1-5 of 5

    • Asymptotic behaviour for fractional diffusion-convection equations 

      Ignat, L.I.; Stan, D. (2017-10)
      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 the unique entropy solution of the convective ...
    • Carleman type inequalities for fractional relativistic operators 

      Stan, D.; Roncal, L.Autoridad BCAM; Vega, L.Autoridad BCAM (2019-09-22)
      In this paper, we derive Carleman estimates for the fractional relativistic operator. Firstly, we consider changing-sign solutions to the heat equation for such operators. We prove monotonicity inequalities and convexity ...
    • Discrete Carleman estimates and three balls inequalities 

      Fernández-Bertolin, A.; Roncal, L.Autoridad BCAM; Rüland, A.; Stan, D. (2021-10-16)
      We prove logarithmic convexity estimates and three balls inequalities for discrete magnetic Schrödinger operators. These quantitatively connect the discrete setting in which the unique continuation property fails and the ...
    • Dispersive Properties for Discrete Schrödinger Equations 

      Ignat, L.I.; Stan, D. (2011-12-31)
      In this paper we prove dispersive estimates for the system formed by two coupled discrete Schrödinger equations. We obtain estimates for the resolvent of the discrete operator and prove that it satisfies the limiting ...
    • Existence of weak solutions for a general porous medium equation with nonlocal pressure 

      Stan, D.; Del Teso, F.; Vázquez, J.L. (2017-10)
      We study the general nonlinear diffusion equation $u_t=\nabla\cdot (u^{m-1}\nabla (-\Delta)^{-s}u)$ that describes a flow through a porous medium which is driven by a nonlocal pressure. We consider constant parameters ...