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Date: 18-7-2018
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Cauchy conditions are initial conditions (time conditions) rather than boundary conditions (space conditions). An initial-value problem is often termed a Cauchy problem. These initial conditions may be specified at a boundary, in which case they are termed initial-boundary conditions.
The form of the initial conditions is specified by the Cauchy-Kovalevskaya theorem.
REFERENCES:
Morse, P. M. and Feshbach, H. Methods of Theoretical Physics, Part I. New York: McGraw-Hill, pp. 678-679, 1953.
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