Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (6): 1579-1585.

• Articles • Previous Articles     Next Articles

Singular Perturbation of a Class of Third Order |Partial Differential Equations under Limit Equation to be Mixed Type

 LIN Su-Rong   

  1. Department of Computer, Fujian Radio and TV University, Fuzhou |350003
  • Received:2010-09-28 Revised:2011-09-15 Online:2011-12-25 Published:2011-12-25
  • Supported by:

    福建省教育厅科技项目(JA11288)和福建广播电视大学科研课题(KY01123)资助

Abstract:

In this paper the singular perturbation of a class of third order  partial differential equations degenerating to parabolic type at partial boundary is considered. Under appropriate conditions, a sufficient condition of solvability is derived, the existence of solution is proved and the uniformly valid asymptotic expansion of arbitray order is given as well.

Key words: Singular perturbation, Limit equation, Parabolic equation

CLC Number: 

  • 35K20
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