Acta mathematica scientia,Series A ›› 2004, Vol. 24 ›› Issue (3): 329-336.

• Articles • Previous Articles     Next Articles

Existence of Global Weak Solution and Stabilityof a Class Nonlinear Evolution Equation

 张宏伟, 呼青英   

  • Online:2004-06-22 Published:2004-06-22
  • Supported by:

    国家自然科学基金(10371111)、河南省自然科学基金(0211010900)、教育厅及郑州工程学院基金资助

Abstract:

In this paper the initial boundary value problem for the nonlinear evolution equation (|ut|r-2ut)t-Δu-ρ(t)Δut=f(u)is considered. The existence of global weak solution and the stability are proved.

Key words: Nonlinear evolution equation, Initial boundary problem, Global weak solution, Stability

CLC Number: 

  • 35L35
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