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Averaging for the 2d dispersion-managed NLS

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Author(s):
Campos, Luccas ; Murphy, Jason ; Van Hoose, Tim
Total Authors: 3
Document type: Journal article
Source: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS; v. N/A, p. 16-pg., 2023-07-19.
Abstract

We establish global-in-time averaging for the L-2-critical dispersion-managed nonlinear Schrodinger equation in the fast dispersion management regime. In particular, in the case of nonzero average dispersion, we establish averaging with any subcritical data, while in the case of a strictly positive dispersion map, we obtain averaging for data in L-2. (AU)

FAPESP's process: 20/10185-1 - Local and global behaviour of solutions of dispersive equations
Grantee:Luccas Cassimiro Campos
Support Opportunities: Scholarships in Brazil - Post-Doctoral