Cauchy-Kovalevskaya theorem

In mathematics, the Cauchy-Kovalevskaya theorem is the main local existence and uniqueness theorem for analytic partial differential equations. A special case was proven by Augustin Cauchy, and the full result by Sofia Kovalevskaya. The Riquier existence theorem is a generalization.

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See also: Cauchy-Kovalevskaya theorem, Analytic function, Augustin Cauchy, Mathematics, Partial differential equation, Sofia Kovalevskaya, Riquier existence theorem