The Mass-Critical for the Nonlinear Schrödinger Equation in <i>d</i>= 2

• 作者: Mujahid Abd Elmjed M-Ali
• 来源期刊: 理论数学进展(英文)
• 学科: 数学
• 关键词: NLS WELL Posed
• 年，卷（期）: 2013,（5）
• 页码范围: 482-490
• 页数: 9页
• 分类号: O1

摘要

This paper studies the global behavior defocusing nonlinear Schrodinger equation in dimension d = 2, and we will discuss the case . This means that the solutions , and called critical solution. We show that u scatters forward and backward to a free solution and the solution is globally well posed.