6 citations · 18 across the 6 of their papers we have counts for
4 papers · 1 filter
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…