On Scattering for the Quintic Defocusing Nonlinear Schrödinger Equation on ℝ × ��2. (19th September 2013)

• Record Type: Journal Article
• Authors: Hani, Zaher; Pausader, Benoit
• Is Part Of: Communications on pure and applied mathematics. Volume 67:issue 9(2014:Sep.)
• Page Start: 1466
• Page End: 1542
• Publication Date: 2013-09-19
• Subjects: Mathematics -- Periodicals; Mechanics -- Periodicals; Mathématiques -- Périodiques; Mécanique -- Périodiques; 510.5
• DOI: 10.1002/cpa.21481
• Languages: English
• ISSNs: 0010-3640

Abstract

<abstract abstract-type="main"> <title> <x xml:space="preserve">Abstract</x> </title> <p>We consider the problem of large‐data scattering for the quintic nonlinear Schrödinger equation on ℝ × &amp;#55349;&amp;#56651;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.</p> </abstract>