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Uniqueness In Boundary Value Problems For The Second Order Hyperbolic Equation

  • G. F. D. Duff (a1)

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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).

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References

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1. Courant, R. and Hilbert, D., Methoden der Mathematischen Physik, 2 (Berlin, 1937).
2. Duff, G. F. D., Harmonic p-tensors on normal hyperbolic Riemannian spaces, Can. J. Math., 5 (1953), 5780.
3. Duff, G. F. D., Partial Differential Equations (Toronto, 1956).
4. Hormander, L., Uniqueness theorems and estimates for normally hyperbolic partial differential, equations of the second order, C. R. Congres. Math. Scandinaves (1953), 105115.
6. Synge, J. L. and Schild, A., Tensor Calculus (Toronto, 1949).
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Uniqueness In Boundary Value Problems For The Second Order Hyperbolic Equation

  • G. F. D. Duff (a1)

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