Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (1): 109-114.

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A Characterization of Existence of Global Solutions for Some Fourth-order Wave Equations 

  

  1. 1. Department of Computation Science,Chengdu University of Information Technology  2. Department of Mathematics,Southwest Jiaoton9 University 
  • Received:2005-05-09 Online:2008-03-30 Published:2023-10-16
  • About author:CHEN Yong-ming(1972-), male, native of Tongnan, Chongqing, an associate professor of Chengdu University of Information Technology, Ph.D., engages in PDE applied statistics and grey system theory.
  • Supported by:
    Supported by the National Natural Science Foundation of China(10301026); Supported by the Research Foundation of Chengdu University of Information Technology(CRF200702)

Abstract: The initial boundary value problem for the fourth-order wave equation utt+△2u+u=|u|p-1u is considered. The existence and uniqueness of global weak solutions is obtained by using the Galerkin method and the concept of stable set due to Sattinger.

Key words: wave equation, global solutions, Galerkin method, potential well

CLC Number: