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A Tensor Boundary Value Problem of Mixed Type

Published online by Cambridge University Press:  20 November 2018

G. F. D. Duff
G. F. D. Duff*
Affiliation:
University of Toronto
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The boundary value problems of generalized potential theory on finite Riemannian manifolds may be regarded as extensions of the Dirichlet and Neumann problems for harmonic functions. In the tensor theory there is, in fact, a greater variety of such problems; that is to say, these generalizations from classical potential theory can be made in various ways. We here introduce yet another pair of boundary value problems for the tensor equation of Laplace.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 6 , 1954 , pp. 427 - 440
Copyright
Copyright © Canadian Mathematical Society 1954

References

1. (a) Duff, G. F. D., Differential forms in manifolds with boundary, Ann. Math. 56 (1952), 115–127.Google Scholar
(b) Duff, G. F. D., Boundary value problems associated with the tensor Laplace equation, Can. J. Math., 5 (1953), 196–210.Google Scholar
(c) Duff, G. F. D., A tensor equation of elliptic type, Can. J. Math., 5 (1953), 524–535.Google Scholar
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