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On Scattering for the Quintic Defocusing Nonlinear Schrödinger Equation on R × T 2
Author(s) -
Hani Zaher,
Pausader Benoit
Publication year - 2014
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.21481
Subject(s) - quintic function , nonlinear schrödinger equation , mathematics , scattering , nonlinear system , schrödinger equation , mathematical physics , energy (signal processing) , mathematical analysis , physics , quantum mechanics , statistics
We consider the problem of large‐data scattering for the quintic nonlinear Schrödinger equation on R × T 2 . This equation is critical both at the level of energy and mass. Most notably, we exhibit a new type of profile (a “large‐scale profile”) that controls the asymptotic behavior of the solutions. © 2014 Wiley Periodicals, Inc.