Kunze, Markus On a variational problem with lack of compactness related to the Strichartz inequality. (English) Zbl 1352.49002 Calc. Var. Partial Differ. Equ. 19, No. 3, 307-336 (2004). Summary: 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. Cited in 14 Documents MSC: 49J10 Existence theories for free problems in two or more independent variables 49J20 Existence theories for optimal control problems involving partial differential equations 35A15 Variational methods applied to PDEs 35Q60 PDEs in connection with optics and electromagnetic theory 78A60 Lasers, masers, optical bistability, nonlinear optics PDFBibTeX XMLCite \textit{M. Kunze}, Calc. Var. Partial Differ. Equ. 19, No. 3, 307--336 (2004; Zbl 1352.49002) Full Text: DOI