Cauchy Conditions

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.

See also

Boundary Conditions, Cauchy-Kovalevskaya Theorem, Cauchy Problem, Dirichlet Boundary Conditions, Neumann Boundary Conditions

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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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Cauchy Conditions

Cite this as:

Weisstein, Eric W. "Cauchy Conditions." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CauchyConditions.html

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