On a variational problem with lack of compactness related to the Strichartz inequality

Markus Kunze
March 2004
Calculus of Variations & Partial Differential Equations;Mar2004, Vol. 19 Issue 3, p307
Academic Journal
We study a variational problem from nonlinear fiber optics which strongly lacks compactness, due to the absence of a priori bounds in spaces different from $L^2({\mathbb R})$ . A method is established how to restore this missing compactness by means of the dispersive properties inherent in the problem.


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