現在位置首頁 > 期刊論文 > 詳目
主要題名:Nonexistence of global solutions for a class of wave equations with nonlinear damping and source terms
作者姓名:Wu, Shun-Tang
貢獻者資料:通識教育中心/通識教育中心
關鍵詞:non-linear dampingglobal non-existencenegative initial energynon-linear source
論文中文摘要:An initial–boundary-value problem for a class of wave equations with nonlinear damping and source terms in a bounded domain is considered. We establish the non-existence result of global solutions with the initial energy controlled above by a critical value via the method introduced in a work by Autuori et al. in 2010. This improves the 2009 result of Liu and Wang.

a,b>0, associated with initial and Dirichlet boundary conditions. We prove, under suitable conditions on α,β,m,p and for negative initial energy, a global non-existence theorem. This improves a result by Yang (Math. Meth. Appl. Sci. 2002; 25:825–833), who requires that the initial energy be sufficiently negative and relates the global non-existence of solutions to the size of Ω.
出版日期:2011
論文ID:2014060600002
典藏單位:國立臺北科技大學
統一資源識別號:http://journals.cambridge.org/action/displayAbstract;jsessionid=6B74C01D8746D637242C2BB1E67C64EE.journals?fromPage=online&aid=8330143
備註:©2004 John Wiley & Sons, Ltd.
資料開放狀態:開放
刊物名稱:The Royal Society of Edinburgh Proceedings A
期數:141(4)
論文起迄頁碼:865-880