Acta mathematica scientia,Series A ›› 2000, Vol. 20 ›› Issue (2): 235-239.

• Articles • Previous Articles     Next Articles

The solution of a Equation System and the Boundary Value Problem for It

  

  1. Department of mathematics, Hebei Normal University, Shijiazhuang 050016
  • Online:2000-03-03 Published:2000-03-03

Abstract:

In this paper, we discuss the equation system:
t(ux - vy - wt ) + w = 0                                              (H)
     uy = -vx, ut = -wx, vt = wy  

We get a sufficient and necessary condition of its solvability, and the existence of solution for the boundary value problem relating to it is obtained.

 

Key words:  Doubleharmonicfunctions, Theexistenceofsolution, Poissonformula, Theboundaryvalueproblem.

CLC Number: 

  • 31A25,31A30
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