45 citations · 242 across the 29 of their papers we have counts for
4 papers · 1 filter
Some constructions for the fractional Laplacian on noncompact manifolds
Valeria Banica, Maria del Mar González, Mariel Sáez
We give a definition of the fractional Laplacian on some noncompact manifolds, through an extension problem introduced by Caffarelli-Silvestre. While this definition in the compact…
Dispersion for the Schrödinger equation on the line with multiple Dirac delta potentials and on delta trees
V. Banica, L. I. Ignat
In this paper we consider the time dependent one-dimensional Schrödinger equation with multiple Dirac delta potentials {of different strengths}. We prove that the classical dispers…
Evolution, interaction and collisions of vortex filaments
Valeria Banica, Evelyne Miot
Several progresses have been done very recently on models for the dynamics of one or more vortex filaments in three-dimensional fluids. In this article we survey the recent and pre…
Stability of the selfsimilar dynamics of a vortex filament
Valeria Banica, Luis Vega
In this paper we continue our investigation about selfsimilar solutions of the vortex filament equation, also known as the binormal flow (BF) or the localized induction equation (L…