Global Existence, Uniqueness of Weak Solutions and Determining Functionals for Nonlinear Wave Equations

• 作者: ülkü Dinlemez
• 来源期刊: 理论数学进展(英文)
• 学科: 数学
• 关键词: Global Existence UNIQUENESS Determining MODES
• 年，卷（期）: 2013,（5）
• 页码范围: 451-457
• 页数: 7页
• 分类号: O1

摘要

We consider the initial-boundary value problem for a nonlinear wave equation with strong structural damping and nonlinear source terms in IR. We prove the global existence and uniqueness of weak solutions of the problem and then we will study the determining modes on the phase space by using energy methods and the concept of the completeness defect.