Chinese Quarterly Journal of Mathematics ›› 1999, Vol. 14 ›› Issue (4): 1-5.

    Next Articles

Initial Boundary Value Problems for Nonlinear Wave Equations

  

  1.  郑州测绘学院数学教研室 河南郑州450052
  • Received:1996-01-19 Online:1999-12-30 Published:2024-09-02
  • About author:REN Liu-cheng(1963-),male,native of Runan,Henan,Ph.D.,associate professor of Zhengzhou Institute of Surveying and Mapping,engages in mathematics cartography and partial differential equation.
  • Supported by:
    Supported by Henan Scientific Committee Foundation(994071500)

Abstract: 本文利用Leray-Schauder不动点定理证明了非线性波方程utt - [a0 + a2(ux)β]uxx - a1uxxtt = f(x,t,ux,ut,uxt)的初边值问题广义解的存在唯一性 .

Key words:  , 非线性波方程, 初边值问题, Leray-Schauder不动点, 广义解,  ,

CLC Number: