Summary
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.
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References
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This research was supported in party by the Air Force Office of Scientific Research through AF-AFOSR Grant no. 74-2592.
Entrata in Redazione il 26 marzo 1973.
Indiana University and University of Delaware.
Indiana University and Wichita State University.
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Gilbert, R.P., Kukral, D. A function theoretic method forΔ 24 u+Q(x)u=0. Annali di Matematica 104, 31–42 (1975). https://doi.org/10.1007/BF02417009
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DOI: https://doi.org/10.1007/BF02417009