20 citations · 20 across the 3 of their papers we have counts for
4 papers
Estimates for the kinetic transport equation in hyperbolic Sobolev spaces
Jonathan Bennett, Neal Bez, Susana Gutierrez +1
We establish smoothing estimates in the framework of hyperbolic Sobolev spaces for the velocity averaging operator of the solution of the kinetic transport equation. If the vel…
Hardy Uncertainty Principle and unique continuation properties of covariant Schrodinger flows
Juan Antonio Barcelo, Luca Fanelli, Susana Gutierrez +2
We prove a logarithmic convexity result for exponentially weighted -norms of solutions to electromagnetic Schrödinger equation, without needing to assume smallness of the magn…
On the stability of self-similar solutions of 1D cubic Schrodinger equations
Susana Gutierrez, Luis Vega
In this paper we will study the stability properties of self-similar solutions of 1-d cubic NLS equations with time-dependent coefficients of the form iu_t+u_{xx}+\frac{u}{2} (|u|^…
Self-binormal solutions of the Localized Induction Approximation: Singularity formation
Susana Gutierrez, Luis Vega
We investigate the formation of singularities in a self-similar form of regular solutions of the Localized Induction Approximation (also referred as to the binormal flow). This equ…