Annali di Matematica Pura ed Applicata

, Volume 104, Issue 1, pp 31–42 | Cite as

A function theoretic method forΔ 4 2 u+Q(x)u=0

  • R. P. Gilbert
  • D. Kukral


The approach used in this paper generalizes Colton's treatment [4] of certain second order elliptic equations in four independent variables to the fourth order case. This method is essentially a function theoretic one that is based on the earlier work of Tjong [11]. An integral operator is found that permits one to construct a complete family of solutions with respect to uniform convergence in compact sets of R4. Consequently, one is provided with a useful numerical procedure for solving the associated boundary value problems.


Integral Operator Elliptic Equation Fourth Order Uniform Convergence Numerical Procedure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1974

Authors and Affiliations

  • R. P. Gilbert
    • 1
  • D. Kukral
    • 1
  1. 1.BloomingtonU.S.A.

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