6 citations · 18 across the 6 of their papers we have counts for
7 papers
The Frisch--Parisi formalism for fluctuations of the Schrödinger equation
S. Kumar, F. Ponce-Vanegas, L. Roncal +1
We consider the solution of the Schrödinger equation in when the initial datum tends to the Dirac comb. Let be the fluctuations in time of $\i…
Counterexamples for the fractal Schrödinger convergence problem with an intermediate space trick
Daniel Eceizabarrena, Felipe Ponce-Vanegas
We construct counterexamples for the fractal Schrödinger convergence problem by combining a fractal extension of Bourgain's counterexample and the intermediate space trick of Du--K…
Pointwise convergence over fractals for dispersive equations with homogeneous symbol
Daniel Eceizabarrena, Felipe Ponce-Vanegas
We study the fractal pointwise convergence for the equation , where the symbol is real, homogeneous and non-singular. We prove that for initial d…
Static and Dynamical, Fractional Uncertainty Principles
Sandeep Kumar, Felipe Ponce-Vanegas, Luis Vega
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 principl…
Convergence over fractals for the Schrödinger equation
Renato Lucà, Felipe Ponce-Vanegas
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 t…
Recovery of the Derivative of the Conductivity at the Boundary
Felipe Ponce-Vanegas
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 bounda…
The Bilinear Strategy for Calderón's Problem
Felipe Ponce-Vanegas
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 Calderón's…