LOCAL AND GLOBAL EXISTENCE OF SOLUTIONS OF THE GINZBURG-LANDAU TYPE EQUATIONS

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Ginzburg-Landau type equations initial value problem local existence global existence
• 年，卷（期）: 2007,（3）
• 页码范围: 220-246
• 页数: 27页
• 分类号: O175.29
• 语种: 英文

摘要

This paper is devoted to studying the initial value problem of the Ginzburg-Landau type equations. We treat the case where the nonlinear interaction function is a general continuous function, not required to satisfy any smoothness conditions. Local and global existence results of solutions of the problem are given. Decay estimates are also shown.