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- W3006637889 abstract "We study the existence of maximizers for a one-parameter family of Strichartz inequalities on the torus. In general maximizing sequences can fail to be precompact in $L^2(mathbb T)$, and maximizers can fail to exist. We provide a sufficient condition for precompactness of maximizing sequences (after translation in Fourier space), and verify the existence of maximizers for a range of values of the parameter. Maximizers for the Strichartz inequalities correspond to stable, periodic (in space and time) solutions of a model equation for optical pulses in a dispersion-managed fiber." @default.
- W3006637889 created "2020-02-24" @default.
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- W3006637889 date "2020-02-10" @default.
- W3006637889 modified "2023-09-27" @default.
- W3006637889 title "Maximizers for Strichartz Inequalities on the Torus" @default.
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