Now showing items 1-4 of 4

    • A Bilinear Strategy for Calderón's Problem 

      Ponce-Vanegas, F. (2019-08)
      Electrical Impedance Imaging would suffer a serious obstruction if for two different conductivities the potential and current measured at the boundary were the same. The Calder\'on's problem is to decide whether the ...
    • Convergence over fractals for the Schrödinger equation 

      Luca, R.; Ponce-Vanegas, F. (2021-01)
      We consider a fractal refinement of the Carleson problem for the Schrödinger equation, that is to identify the minimal regularity needed by the solutions to converge pointwise to their initial data almost everywhere with ...
    • Reconstruction of the Derivative of the Conductivity at the Boundary 

      Ponce-Vanegas, F. (2019-08)
      We describe a method to reconstruct the conductivity and its normal derivative at the boundary from the knowledge of the potential and current measured at the boundary. This boundary determination implies the uniqueness ...
    • Static and Dynamical, Fractional Uncertainty Principles 

      Kumar, S.; Ponce-Vanegas, F.; Vega, L.Autoridad BCAM (2021-03)
      We study the process of dispersion of low-regularity solutions to the Schrödinger equation using fractional weights (observables). We give another proof of the uncertainty principle for fractional weights and use it to get ...