释义 |
Cauchy ProblemIf is an Analytic Function in a Neighborhood of the point (i.e., it can be expanded ina series of Nonnegative Integer Powers of and ), find a solution of the Differential Equation
with initial conditions and . The existence and uniqueness of the solution were proven by Cauchy and Kovalevskaya in the Cauchy-Kovalevskaya Theorem. The Cauchy problem amounts to determining theshape of the boundary and type of equation which yield unique and reasonable solutions for the Cauchy BoundaryConditions.See also Cauchy Boundary Conditions
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