Stability Solution of the Nonlinear Schrödinger Equation

• 作者: Mujahid Abd Elmjed M-Ali
• 来源期刊: 现代非线性理论与应用(英文)
• 学科: 数学
• 关键词: NLS Wellposed
• 年，卷（期）: 2013,（2）
• 页码范围: 122-129
• 页数: 8页
• 分类号: O1

摘要

In this paper we discuss stability theory of the mass critical, mass-supercritical and energy-subcritical of solution to the nonlinear Schrodinger equation. In general, we take care in developing a stability theory for nonlinear Schrodinger equation. By stability, we discuss the property: the approximate solution to nonlinear Schrodinger equation obeying with e small in a suitable space and small in and then there exists a veritable solution u to nonlinear Schrodinger equation which remains very close to in critical norms.