5 citations · 6 across the 4 of their papers we have counts for
4 papers
Heat-flow monotonicity of Strichartz norms
Jonathan Bennett, Neal Bez, Anthony Carbery +1
Most notably we prove that for the classical Strichartz norm associated to the free Schrödinger equation i…
Super-exponential decay of Diffraction Managed Solitons
Dirk Hundertmark, Young-Ran Lee
This is the second part of a series of papers where we develop rigorous decay estimates for breather solutions of an averaged version of the non-linear Schrödinger equation. In thi…
Decay estimates and smoothness for solutions of the dispersion managed non-linear Schrödinger equation
Dirk Hundertmark, Young-Ran Lee
We study the decay and smoothness of solutions of the dispersion managed non-linear Schrödinger equation in the case of zero residual dispersion. Using new x-space versions of bili…
Improved Hardy-Sobolev inequalities
A. Balinsky, W. D. Evans, D. Hundertmark +1
The main result includes features of a Hardy-type inequality and an inequality of either Sobolev or Gagliardo-Nirenberg type. It is inspired by the method of proof of a recent impr…