期刊文献+

非线性波动方程组整体解的不存在性 被引量:4

Nonexistence of Global Solutions for Nonlinear Wave Systems
下载PDF
导出
摘要 研究一类非线性波动方程组具Dirichlet边值的初边值问题 .运用能量方法和积分不等式技巧 ,讨论了问题的整体解的不存在性 . The initial boundary value problems for a class of nonlinear wave systems with Dirichlet boundary conditions are investigated. By the energy methods and the integral inequality techniques, the nonexistences of global solutions of the problems are proved.
作者 张新华 张健
出处 《四川师范大学学报(自然科学版)》 CAS CSCD 2001年第3期249-251,共3页 Journal of Sichuan Normal University(Natural Science)
关键词 非线性波动方程组 初值能量 整体解 不存在性 积分不等式 Dirichlet边值 Nonlinear wave systems Conservation laws Non existences of global solution
  • 相关文献

参考文献3

共引文献4

同被引文献24

  • 1赖绍永.THE GLOBAL AND LOCAL C^(2)-SOLUTIONS FOR THE WAVE EQUATION □u = G(u_t, Du) IN THREE SPACE DIMENSIONS[J].Acta Mathematica Scientia,2000,20(4):495-503. 被引量:2
  • 2李晓光,赖绍永.三维空间中"非汉字符号"u=G(u_t,Du)的整体经典解的存在性[J].四川师范大学学报(自然科学版),2004,27(6):564-568. 被引量:1
  • 3Makhankov V G.Dynamics of classical solutions(in non-integrable systems).Phys Reports (scetion C),1978,35:1-128.
  • 4Kuznetwov E A,Rubenchik A M,Zakharov V E.Solition stability in plasmas and by drodynamics.Phys Reports,1986,142:103.
  • 5Abdullaev F Kh.Dyamical chaos of solitions and nonlinear periodic waves.Phys Reports,1989,179:1-78.
  • 6Guo B L,Yang L G.The global solution and asymptotic behaviors for one class of system of nonlinear evolution.J patia,1997,10:232-246.
  • 7Glassey R T. On the blowing up of solutions to the Cauchy problem for nonlinear Schroedinger equations. J Math Phys,1977,18(9):330 -333.
  • 8Aliev A B, Khanmamedov K H. Energy estimates for solutions of the mixed problem for linear second-order hyperbolic equations[J]. Math Notes,1996,59(4):345~349.
  • 9Ball J. Remarks on blow up and nonexistence theorems for nonlinear evolution equations[J]. Quart J Math,1977,28(2):473~483.
  • 10Levien H A. Some additional remarks on the nonexistence of global solutions to nonlinear wave equation[J]. SIAM J Math Anal,1974,5:138~146.

引证文献4

二级引证文献4

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部