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Uniqueness In Boundary Value Problems For The Second Order Hyperbolic Equation
Published online by Cambridge University Press: 20 November 2018
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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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- Copyright © Canadian Mathematical Society 1956
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