Acta mathematica scientia,Series B ›› 2005, Vol. 25 ›› Issue (3): 419-426.

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ON THE BOREL SUMMABILITY OF FORMAL SOLUTIONS FOR SOME FIRST ORDER SINGULAR PDES WITH IRREGULAR SINGULARITY

 CHEN Hua, ZHANG Zhi-Xiong   

  • Online:2005-07-20 Published:2005-07-20
  • Supported by:

    Research supported by the NSFC and the 973 key project of the MOST

Abstract:

In this paper the authors consider the summability of formal solutions for
some first order singular PDEs with irregular singularity. They prove that in this case the
formal solutions will be divergent, but except a enumerable directions, the formal solutions
are Borel summable.

Key words:  Singular PDEs;formal solutions, Borel summability

CLC Number: 

  • 35C10
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