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Uniqueness In Boundary Value Problems For The Second Order Hyperbolic Equation

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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Introduction. We study linear normal hyperbolic partial differential equations of the second order, with one dependent variable u, and N independent variables xi (i = 1, … , N). The uniqueness theorem connected with the Cauchy problem for this type of equation is well known and in effect states that if u and its first normal derivatives vanish on a spacelike initial surface S then u vanishes in a certain conical region which contains S (1, p. 379).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 8 , 1956 , pp. 86 - 96
Copyright
Copyright © Canadian Mathematical Society 1956

References

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