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Hyperbolic Mixed Problems for Harmonic Tensors

Published online by Cambridge University Press:  20 November 2018

G. F. D. Duff
G. F. D. Duff*
Affiliation:
University of Toronto and University of Saskatchewan
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This paper may be regarded as a sequel to (1), where the initial value or Cauchy problem for harmonic tensors on a normal hyperbolic Riemann space was treated. The mixed problems to be studied here involve boundary conditions on a timelike boundary surface in addition to the Cauchy data on a spacelike initial manifold. The components of a harmonic tensor satisfy a system of wave equations with similar principal part, and we assign two initial conditions and one boundary condition for each component.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 9 , 1957 , pp. 161 - 179
Copyright
Copyright © Canadian Mathematical Society 1957

References

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