On Scattering for the Quintic Defocusing Nonlinear Schrödinger Equation on R × T 2 | Zendy

Hani Zaher | Zendy; Pausader Benoit | Zendy

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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.

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